Filters








279 Hits in 3.7 sec

On the Approximation of Centered Zonotopes in the Plane [chapter]

Svetoslav Markov, Dalcidio Claudio
<span title="">2004</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The present work is devoted to computation with zonotopes in the plane.  ...  Using ideas from the theory of quasivector spaces we formulate an approximation problem for zonotopes and propose an algorithm for its solution.  ...  Acknowledgments This work was supported in part by Bulgarian NSF grants I-903/99, MM-1104/01, and the Swiss NSF Co-operation Agreement No. 7IP 65642 (Program SCOPES).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-24588-9_27">doi:10.1007/978-3-540-24588-9_27</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m2vlj2qb65c7lk72hs7poshayi">fatcat:m2vlj2qb65c7lk72hs7poshayi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20060830065619/http://www.cs.utep.edu/interval-comp/markov03.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f4/3c/f43cbd7d8566834ab08fa848b3c7f00530d1554e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-24588-9_27"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Reachability of Uncertain Linear Systems Using Zonotopes [chapter]

Antoine Girard
<span title="">2005</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We present a method for the computation of reachable sets of uncertain linear systems. The main innovation of the method consists in the use of zonotopes for reachable set representation.  ...  An extension of the method for the verification of piecewise linear hybrid systems is proposed. Research partially supported by the Région Rhône-Alpes (Projet CalCel).  ...  Therefore, we take a rougher approximation which is very simple to compute: The center and the p first generators of the zonotope gives the mean value of the zonotopes Z and e rA Z.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-31954-2_19">doi:10.1007/978-3-540-31954-2_19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6nvnc5fuwjfjreuzjapowiv6ka">fatcat:6nvnc5fuwjfjreuzjapowiv6ka</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809100447/http://www-ljk.imag.fr/CASYS/CalCel/Publi_CalCel/Chapitres/chapitre_girard1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e7/6a/e76a36257cd743a04b4454c2c50670e47b3ca448.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-31954-2_19"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Parametrized Hyperplane Arrangements for Control Design with Collision Avoidance Constraints

Daniel Ioan, Sorin Olaru, Ionela Prodan, Florin Stoican, Silviu-Iulian Niculescu
<span title="">2019</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/o4zj55wsjzgsjgacl2dlwelspi" style="color: black;">2019 IEEE 15th International Conference on Control and Automation (ICCA)</a> </i> &nbsp;
The present paper tackles this issue by using zonotopes and discussing their parametrization in a collision avoidance type of application.  ...  Preliminary results based on hyperplane arrangements lead to a mixed-integer formulation of the problem.  ...  In particular, the authors acknowledge Jacques Blanc-Talon, expert DGA, for the fruitful discussions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icca.2019.8899977">doi:10.1109/icca.2019.8899977</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icca/IoanOPSN19.html">dblp:conf/icca/IoanOPSN19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lc5dnr36vnfildmtjfvtmodyea">fatcat:lc5dnr36vnfildmtjfvtmodyea</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200506183815/https://hal-centralesupelec.archives-ouvertes.fr/hal-02329329/file/ICCA_2019.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/25/02/2502611f3645d3d2f059c0c8ffada193b5debf14.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icca.2019.8899977"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Zonotope/Hyperplane Intersection for Hybrid Systems Reachability Analysis [chapter]

Antoine Girard, Colas Le Guernic
<span title="">2008</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
For the reachability analysis of the continuous dynamics, we use an efficient approximation algorithm based on zonotopes.  ...  The main contribution of this paper is a novel algorithm for computing efficiently a tight over-approximation of the intersection of (possibly high-order) zonotopes with a hyperplane.  ...  This proposition states that we can reduce the problem of computing a tight polyhedral over-approximation of the intersection of a set Z and a hyperplane G to the problem of projecting Z on a plane and  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-78929-1_16">doi:10.1007/978-3-540-78929-1_16</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xqapj2derfbornb23f2ddk74za">fatcat:xqapj2derfbornb23f2ddk74za</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810150526/http://www-ljk.imag.fr/membres/Antoine.Girard/Publications/hscc2008b.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8c/e4/8ce4591cbc2de5d019120ca50588cc68a0902e61.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-78929-1_16"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

A Verified Algorithm for Geometric Zonotope/Hyperplane Intersection

Fabian Immler
<span title="">2015</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/v2jnxq36qfdxhby7zfh6sfsc4e" style="color: black;">Proceedings of the 2015 Conference on Certified Programs and Proofs - CPP &#39;15</a> </i> &nbsp;
The algorithm is similar to convex hull computations, our verification is therefore inspired by Knuth's axioms for an orientation predicate of points in the plane, which have been successfully used to  ...  The interesting fact is that we combine a mixture of different fields: a discrete geometrical algorithm to perform operations on the continuous sets represented by zonotopes.  ...  I would like to thank Lars Hupel, Johannes Hölzl, and the anonymous reviewers for providing helpful feedback on earlier versions of this paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2676724.2693164">doi:10.1145/2676724.2693164</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/cpp/Immler15.html">dblp:conf/cpp/Immler15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vw54zxfvejhfpmmoq75w445thy">fatcat:vw54zxfvejhfpmmoq75w445thy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922221132/http://home.in.tum.de/%7Eimmler/documents/immler2015zonotopes.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fb/b8/fbb80d9a4b86ceb7881da22caecf06d994d2be6c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2676724.2693164"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Approximation of zonoids by zonotopes in fixed directions

S. Campi, D. Haas, W. Weil
<span title="">1994</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cu3ouk4pmzhsroy4l5k2c35xtu" style="color: black;">Discrete &amp; Computational Geometry</a> </i> &nbsp;
Uk, produces a zonotope Z' which is a sum of at most k segments and has the same support values as Z in the directions u 1 ..... u k.  ...  Zonotopes and zonoids have a center of symmetry and, without loss of generality, we assume throughout that this center is at the origin.  ...  Approximation of Zonoids by Zonotopes in Fixed Directions In the following proof we make use of the mixed volume V,(K, L)'.= V(K .....  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/bf02574016">doi:10.1007/bf02574016</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ebwtbpym3zaylp5mm2jwxypm3y">fatcat:ebwtbpym3zaylp5mm2jwxypm3y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190504115449/https://link.springer.com/content/pdf/10.1007%2FBF02574016.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/76/8f/768fdd90eea10dcb8f12bc591974a0ab7f0f0e10.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/bf02574016"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Robust fault detection for LPV systems using interval observers and zonotopes

Fatiha Nejjari, Vicenc Puig, Saul Montes de Oca, Atefeh Sadeghzadeh
<span title="">2009</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wjd7b2sxyfahnaei4xvi46vwsu" style="color: black;">Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference</a> </i> &nbsp;
Their effect is addressed using an interval state observation method based on zonotope representation of the set of possible states.  ...  In this paper, the problem of robust fault detection using an interval observer for dynamic systems characterized by LPV (Linear Parameter Varying) models is presented.  ...  The TRMS consists of a beam pivoted on its base in such a way that it can rotate freely both in the horizontal and vertical planes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc.2009.5399871">doi:10.1109/cdc.2009.5399871</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/cdc/NejjariPOS09.html">dblp:conf/cdc/NejjariPOS09</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xhj64d6m5ffzllpry7lori5gm4">fatcat:xhj64d6m5ffzllpry7lori5gm4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170818213746/http://upcommons.upc.edu/bitstream/handle/2117/9858/2454203.pdf?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4a/cb/4acbc93d3e022bad2d2087539cd7d9f3fe2839df.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc.2009.5399871"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Verification of Neural-Network Control Systems by Integrating Taylor Models and Zonotopes [article]

Christian Schilling, Marcelo Forets, Sebastian Guadalupe
<span title="2022-05-01">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
When considering dynamical systems and neural networks in isolation, there exist precise approaches for that task based on set representations respectively called Taylor models and zonotopes.  ...  approximation error quickly renders the result useless.  ...  S.G. acknowledges funding from Julia Seasons of Contributions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2112.09197v2">arXiv:2112.09197v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/n5syezrt2zfw7pagquarvz7hj4">fatcat:n5syezrt2zfw7pagquarvz7hj4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220505112358/https://arxiv.org/pdf/2112.09197v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/32/93/3293be154f600be7c89389c0eba2ae22c3dd9dfa.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2112.09197v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Efficient Computation of Reachable Sets of Linear Time-Invariant Systems with Inputs [chapter]

Antoine Girard, Colas Le Guernic, Oded Maler
<span title="">2006</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We show that the computation of these approximations is of great interests in the context of hybrid systems verification and control synthesis.  ...  An implementation of this algorithm based on zonotopes shows outstanding performances both theoretically and empirically. Algorithms to compute over and under-approximations are also proposed.  ...  We will assume that the guards are specified by switching planes: In order to be able to use S-band intersections in Algorithm 2, we need to be able to over-approximate a zonotope by a S-band intersection  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11730637_21">doi:10.1007/11730637_21</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tdkjb5nhxngzhh77griyxdcaom">fatcat:tdkjb5nhxngzhh77griyxdcaom</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20051013004518/http://www-verimag.imag.fr/%7Emaler/Papers/zonotope.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f2/f6/f2f666b9f9e417e7285231240c398c835b1e2fc3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11730637_21"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Zonotope parameter identification for piecewise affine systems

Wang Jianhong
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dm5p322bw5f5hfwucl2tiiuljq" style="color: black;">Journal of Systems Engineering and Electronics</a> </i> &nbsp;
The problem of how to identify the piecewise affine system is studied in this paper, where this considered piecewise affine system is a special nonlinear system.  ...  Finally, the effectiveness of this zonotope parameter identification algorithm is proven through a simulation example.  ...  Moreover, the optimal parameter vector is an interior point or a center of the smallest zonotope.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.23919/jsee.2020.000060">doi:10.23919/jsee.2020.000060</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ngxv3kuervgfflv55nu46ugqg4">fatcat:ngxv3kuervgfflv55nu46ugqg4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210429152133/https://ieeexplore.ieee.org/ielx7/5971804/9247409/09215069.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/a4/dba40042739f58ce4af74dabc5dfb0feaa280732.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.23919/jsee.2020.000060"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Spatio-temporal constrained zonotopes for validation of optimal control problems

Etienne Bertin, Bruno Herisse, Julien Alexandre dit Sandretto, Alexandre Chapoutot
<span title="2021-12-14">2021</span> <i title="IEEE"> 2021 60th IEEE Conference on Decision and Control (CDC) </i> &nbsp;
Then optimality conditions are propagated backward in time and added as constraints on the previously computed enclosure.  ...  The obtained constrained zonotopes form a thin enclosure of all optimal trajectories that is less susceptible to accumulation of error.  ...  Zonotopes and Constrained Zonotopes • ε + Ẑ : ε ∈ [−1, 1] d ε , where Z is the generator sparse matrix, of dimension d × d ε and Ẑ is the center vector of dimension d × 1.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc45484.2021.9683301">doi:10.1109/cdc45484.2021.9683301</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g5hwvmimznei7nbu5n4hdd56wa">fatcat:g5hwvmimznei7nbu5n4hdd56wa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20211014083323/https://hal.archives-ouvertes.fr/hal-03197925/document" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1a/8b/1a8bcfce2ec8974049beca86261be7c71dc45ef9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc45484.2021.9683301"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Ellipsotopes: Combining Ellipsoids and Zonotopes for Reachability Analysis and Fault Detection [article]

Shreyas Kousik, Adam Dai, Grace Gao
<span title="2022-04-19">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
uncertainty and linearization error in a dynamical system by expanding the size of the reachable set.  ...  Ellipsotopes combine the advantages of ellipsoids and zonotopes while ensuring convex collision checking. The utility of this representation is demonstrated on several examples.  ...  For zonotopes, set containment (checking if one set is a subset of another) can be approximated in general [17] or solved in polynomial time by fixing the number of generators of one input zonotope  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2108.01750v3">arXiv:2108.01750v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/422bvzblwjeprgw2uhqhtgsni4">fatcat:422bvzblwjeprgw2uhqhtgsni4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220426230159/https://arxiv.org/pdf/2108.01750v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/64/76/64762d5ed61bf7bd977f71f1e14195153f958d84.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2108.01750v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Aggregation and Disaggregation of Energetic Flexibility from Distributed Energy Resources [article]

Fabian L. Müller, Jácint Szabó, Olle Sundström, John Lygeros
<span title="2017-05-08">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The description proposed allows aggregators to efficiently pool the flexibility of large numbers of systems and to make control and market decisions on the aggregate level.  ...  Finally, it is shown how the zonotopic description of flexibility enables an efficient computation of aggregate regulation power bid-curves.  ...  ACKNOWLEDGMENT The authors gratefully acknowledge the fruitful discussions with Stefan Wörner, Ulrich Schimpel, and Marco Laumanns.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1705.02815v1">arXiv:1705.02815v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2ejuczpvrfep3gsljl7n44bbry">fatcat:2ejuczpvrfep3gsljl7n44bbry</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200830203946/https://arxiv.org/pdf/1705.02815v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fb/04/fb04bcb4e3b0455469887366dcb708b0e4eb9f36.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1705.02815v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Safety Verification of a Cooperative Vehicle Platoon with Uncertain Inputs Using Zonotopes*

Ibtissem Ben Makhlouf, Jan P. Maschuw, Paul Hänsch, Hilal Diab, Stefan Kowalewski, Dirk Abel
<span title="">2011</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
Our approach is based on the reachability analysis of linear systems subject to uncertain inputs. The reachable sets are represented by zonotopes.  ...  We propose an accurate approximation of the contribution of the uncertain inputs to the whole reachable set.  ...  On the other hand, the choice of the maximum allowed order of zonotopes q has an important impact on the quality of the approximation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20110828-6-it-1002.02165">doi:10.3182/20110828-6-it-1002.02165</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dizqliyzjrfb7j6fih6h25e77a">fatcat:dizqliyzjrfb7j6fih6h25e77a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170816071548/http://folk.ntnu.no/skoge/prost/proceedings/ifac11-proceedings/data/html/papers/2165.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/be/8b/be8bfb96874e83c2960325e99456d171c4a08315.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20110828-6-it-1002.02165"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

On the Error Performance of the $A_{n}$ Lattices

Robby G. McKilliam, Ramanan Subramanian, Emanuele Viterbo, I. Vaughan L. Clarkson
<span title="">2012</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
We consider the root lattice An and derive explicit recursive formulae for the moments of its Voronoi cell.  ...  These formulae enable accurate prediction of the error probability of lattice codes constructed from An. Index Terms-Lattices, lattice decoding, root lattice, probability of error, Voronoi cell. (  ...  Orthogonal projection of a cube as it is rotated about its center. The figure on the left is the view of a cube from side on, and the boundary is a square.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2012.2199462">doi:10.1109/tit.2012.2199462</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lc7zf4fnlra2jmuo6vcv4rt6j4">fatcat:lc7zf4fnlra2jmuo6vcv4rt6j4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160323181156/http://www.ecse.monash.edu.au/staff/eviterbo/papers/titaug12.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/82/6e/826e0307a39899f477453538b2e3c8bb8f14c42b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2012.2199462"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>
&laquo; Previous Showing results 1 &mdash; 15 out of 279 results