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Jordan Form-Based Algebraic Conditions for Controllability of Multiagent Systems under Directed Graphs

Shuai Liu, Zhijian Ji, Huizi Ma
<span title="2020-02-28">2020</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
Based on the Jordan form of system matrix, this paper discusses algebraic conditions for the controllability of the multiagent network system with directed graph from two aspects: leader-follower network  ...  and sufficiency conditions to determine the controllability.  ...  Based on the Jordan form of the system matrix under directed graphs, we consider the influence of the Laplacian matrix with repeated eigenvalues on the controllability when the coupling input disturbances  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2020/7685460">doi:10.1155/2020/7685460</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ijknktt4q5afxpokp5ifw3ogvi">fatcat:ijknktt4q5afxpokp5ifw3ogvi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200306133033/http://downloads.hindawi.com/journals/complexity/2020/7685460.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/2b/e1/2be11079c09c5360d947f841bb8545630395c2d0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2020/7685460"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Consensus Analysis for Third-Order Multiagent Systems in Directed Networks

Yanfen Cao, Yuangong Sun
<span title="">2015</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
We investigate consensus problem for third-order multiagent dynamical systems in directed graph.  ...  Necessary and sufficient conditions to consensus of third-order multiagent systems have been established under three different protocols.  ...  Acknowledgments The authors thank the reviewers for their valuable comments on this paper. This work was supported by the Natural Science Foundation of Shandong Province under Grant no.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2015/940823">doi:10.1155/2015/940823</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xz3whspy3jdidpyi7xbnxlfbhy">fatcat:xz3whspy3jdidpyi7xbnxlfbhy</a> </span>
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Fast convergent average consensus of multiagent systems based on community detection algorithm

Xinlei Feng, Xiaoli Yang
<span title="2018-11-28">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jl44n6bun5bbbn5hiczsjnxaca" style="color: black;">Advances in Difference Equations</a> </i> &nbsp;
Based on this idea, we present FCWAC Algorithm. For the FCWAC Algorithm, we obtain the results on the average consensus of first-, second-, and high-order continuous-time multiagent systems.  ...  Generally, we know that a small network can have a faster convergence speed than a big one at the same condition. So we divide a multiagent network into several small networks.  ...  Acknowledgements The authors are grateful to editors and reviewers for their valuable suggestions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s13662-018-1901-7">doi:10.1186/s13662-018-1901-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xitkwzgizrhbrnvxq3x3oonm6m">fatcat:xitkwzgizrhbrnvxq3x3oonm6m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200208111125/https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-018-1901-7" 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/5c/e6/5ce678899947b3f0abcd47aeb15406a98492f16e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s13662-018-1901-7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a>

Formation-Containment Control of Second-Order Multiagent Systems via Intermittent Communication

Mao-Dong Xia, Cheng-Lin Liu, Fei Liu
<span title="2018-12-17">2018</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
This paper investigates the formation-containment control of second-order multiagent systems with intermittent communication.  ...  Besides, sufficient convergence conditions are also provided for second-order multiagent systems converging to the desired formation-containment under time-varying communication delay and intermittent  ...  Acknowledgments This work was supported by the Natural Science Foundation of Jiangsu Province (Grant no. BK20151130), National Natural  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2018/2501427">doi:10.1155/2018/2501427</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hk2rvis7fnb5lelvrk7fxv5a4a">fatcat:hk2rvis7fnb5lelvrk7fxv5a4a</a> </span>
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Distributed Coordination Control of First- and Second-Order Multiagent Systems with External Disturbances

Lipo Mo, Tingting Pan, Shaoyan Guo, Yuguang Niu
<span title="">2015</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
This paper is devoted to the coordination control problem of heterogeneous first- and second-order multiagent systems with external disturbances.  ...  Then, based on the consensus state, the control output is defined, and sufficient conditions are derived to make all agents reach consensus withH∞performance.  ...  Based on the consensus state, the control output is defined, and then we gave the sufficient conditions under which all agents can reach consensus with ∞ performance by applying the robust control method  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2015/913689">doi:10.1155/2015/913689</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rc2ad2fsevb4rfkgxmauixkpz4">fatcat:rc2ad2fsevb4rfkgxmauixkpz4</a> </span>
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State Consensus Analysis and Design for High-Order Discrete-Time Linear Multiagent Systems

Yanrong Ge, Yangzhou Chen, Yaxiao Zhang, Zhonghe He
<span title="">2013</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
The paper deals with the state consensus problem of high-order discrete-time linear multiagent systems (DLMASs) with fixed information topologies.  ...  Based on the approach, we obtain necessary and sufficient criteria in terms of Schur stability of matrices and present an analytical expression of the state consensus function.  ...  The consensus algorithm has been further applied to solve the formation control problem of multiagent systems.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2013/192351">doi:10.1155/2013/192351</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jyrbvofaaza4ffirmbnexchf3q">fatcat:jyrbvofaaza4ffirmbnexchf3q</a> </span>
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Predefined-Time Consensus of Nonlinear First-Order Systems Using a Time Base Generator

J. Armando Colunga, Carlos R. Vázquez, Héctor M. Becerra, David Gómez-Gutiérrez
<span title="2018-10-09">2018</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
This paper proposes a couple of consensus algorithms for multiagent systems in which agents have first-order nonlinear dynamics, reaching the consensus state at a predefined time independently of the initial  ...  conditions.  ...  The authors would also like to acknowledge the partial support of Intel Corporation for the development of this work.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2018/1957070">doi:10.1155/2018/1957070</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ftkthnuecrfn3nbeyldnfptdj4">fatcat:ftkthnuecrfn3nbeyldnfptdj4</a> </span>
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Stabilizability and Bipartite Containment Control of Multi-agent Systems over Signed Directed Graphs

Shiming Chen, Zhengang Xia, Huiqin Pei
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q7qi7j4ckfac7ehf3mjbso4hne" style="color: black;">IEEE Access</a> </i> &nbsp;
By employing the proposed bipartite containment control protocols over signed directed graphs, and combining the linear system stabilization theory and the signed Laplacian matrix, the necessary condition  ...  This paper investigates the stabilizability and bipartite containment control problem of general linear multi-agent systems over signed directed graphs, where the negative edges indicate the antagonistic  ...  In this direction, the stabilizations of first-order [31] and general linear [32] multiagent systems under nonnegative networks were investigated.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2975894">doi:10.1109/access.2020.2975894</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pr5n7q4pdjh5ld5kkh26glz6c4">fatcat:pr5n7q4pdjh5ld5kkh26glz6c4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201108192655/https://ieeexplore.ieee.org/ielx7/6287639/8948470/09007443.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/d9/90/d990e87f6d931147dd8f2cff25a1b02670f42fff.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2975894"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> ieee.com </button> </a>

Bipartite Consensus for Multiagent Systems via Event-Based Control

Cui-Qin Ma, Wei-Guo Sun
<span title="2018-10-24">2018</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
This paper studies bipartite consensus for first-order multiagent systems. To improve resource utilization, event-based protocols are considered for bipartite consensus.  ...  A new type of control gain is designed in the proposed protocols. By appropriate selection of control gains, the convergence rate of the closed-loop system can be adjusted.  ...  Introduction Consensus problem is one of the hot topics in coordination of multiagent systems (MASs).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2018/8046576">doi:10.1155/2018/8046576</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7xwm5ha2grcujbv3ckmwtovywy">fatcat:7xwm5ha2grcujbv3ckmwtovywy</a> </span>
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Multiconsensus of Second-Order Multiagent Systems with Input Delays

Jie Chen, Ming Chi, Zhi-Hong Guan, Rui-Quan Liao, Ding-Xue Zhang
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
Secondly, as for the multiagent system with input delays, the maximal allowable upper bound of the delays is obtained by employing Hopf bifurcation of delayed networks theory.  ...  The multiconsensus problem of double-integrator dynamic multiagent systems has been investigated.  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. Acknowledgments  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/424537">doi:10.1155/2014/424537</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ftvk6eq3zzfjdgmj2qdlvsbb2u">fatcat:ftvk6eq3zzfjdgmj2qdlvsbb2u</a> </span>
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Internally Positive Representation of a Class of Continuous Time Systems

F. Cacace, L. Farina, A. Germani, C. Manes
<span title="">2012</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tiaci7xy45hczhz755zlpu5h7q" style="color: black;">IEEE Transactions on Automatic Control</a> </i> &nbsp;
This technical note investigates the problem of the IPR construction for continuoustime systems, and proposes a technique that provides stable IPRs for a particular class of systems.  ...  The problem of realizing arbitrary transfer functions as combinations of positive filters, or, more in general, of representing arbitrary systems by means of Internally Positive Representations (IPRs),  ...  Further details on the Real block-Jordan form can be found in [13] . Necessary and sufficient stability conditions can be given for the normal form IPRs of systems in real Jordan canonical form.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.2012.2199172">doi:10.1109/tac.2012.2199172</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4jutr7ftzjds5ewwywxidua6oy">fatcat:4jutr7ftzjds5ewwywxidua6oy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810175217/http://ing.univaq.it/manes/FilesLavoriPDF/R026_IPR_Class_Continuous_Time_TAC12.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/5e/48/5e48c23542aa8c6e5529a24c9c7b67811f7666d3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.2012.2199172"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Intermittent Sampled Data Control for Time-Varying Formation-Containment of the Multiagent System with/without Time Delay

Ming Chi, Xu-Long Wang, Yangming Dou, Zhi-Wei Liu, Xiao Ling Wang
<span title="2021-05-07">2021</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
Based on the knowledge of matrix theory, algebraic graph theory, and stability theory, some sufficient conditions are given for the time-varying formation-containment problem of the second-order multiagent  ...  Time-varying formation-containment problems for a second-order multiagent system (SOMAS) are studied via pulse-modulated intermittent control (PMIC) in this paper.  ...  "Delayed impulsive control for consensus of multiagent systems with switching communication graphs," IEEE Complexity Definition 1 . 1 With the bounded initial state of each agent being chosen arbitrarily  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2021/9971855">doi:10.1155/2021/9971855</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2b7g6czksvf65dturpbx2e5rqq">fatcat:2b7g6czksvf65dturpbx2e5rqq</a> </span>
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Autonomous Vehicle Convoy Control as a Differential Game [article]

Hossein B. Jond, Jan Platoš
<span title="2021-08-08">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Group control of connected and autonomous vehicles on automated highways is challenging for the advanced driver assistance systems (ADAS) and the automated driving systems (ADS).  ...  The existence of a unique Nash control under the differential game corresponds to a unique solution to the optimal control problem.  ...  There are many control algorithms available from the multiagent system theory for autonomous agents.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2101.08858v2">arXiv:2101.08858v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jrjubut3ajfxtmwnyg53kkp3na">fatcat:jrjubut3ajfxtmwnyg53kkp3na</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210129043821/https://arxiv.org/ftp/arxiv/papers/2101/2101.08858.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5a/c9/5ac9fb90ee0b8672384fb21ac807f60e46281363.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2101.08858v2" 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>

Fast Consensus Seeking on Networks with Antagonistic Interactions

Jijun Qu, Zhijian Ji, Chong Lin, Haisheng Yu
<span title="2018-12-16">2018</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
It is well known that all agents in a multiagent system can asymptotically converge to a common value based on consensus protocols.  ...  In this paper, we introduce a superposition system to superpose to the original system and study how to change the convergence rate without destroying the connectivity of undirected communication graphs  ...  And Liu proposed several necessary and sufficient conditions for consensus of second-order multiagent systems under directed topologies [4] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2018/7831317">doi:10.1155/2018/7831317</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lhww5hin5jhx7h6b4mjdgvueqq">fatcat:lhww5hin5jhx7h6b4mjdgvueqq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190502210239/http://downloads.hindawi.com/journals/complexity/2018/7831317.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/70/15/701551766298ab4e9f2374a2a8c02a44ba7e5e4f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2018/7831317"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Group consensus in generic linear multi-agent systems with inter-group non-identical inputs

Yilun Shang, James Lam
<span title="2014-09-17">2014</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3traqp2nfrhnjbxyafpoa3gk6i" style="color: black;">Cogent Engineering</a> </i> &nbsp;
This paper studies the group consensus problem for generic linear multi-agent systems under directed information flow.  ...  Without imposing complicated algebraic criteria or restrictive graphic conditions on the interaction topology, we show that the group consensus can be achieved by designing appropriate gains given any  ...  Funding The authors received no direct funding for this research.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/23311916.2014.947761">doi:10.1080/23311916.2014.947761</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uobnbvlhcrfcjdo263y75dtmsu">fatcat:uobnbvlhcrfcjdo263y75dtmsu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200225083110/https://www.cogentoa.com/article/10.1080/23311916.2014.947761.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/41/b5/41b54e2f11fcfad937a953294a2a580729a06079.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/23311916.2014.947761"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> tandfonline.com </button> </a>
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