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Second Order Hold Based Discretization Method of Input Time-Delay Systems

Zheng Zhang, Kil To Chong
<span title="">2007</span> <i title="IEEE"> 2007 International Symposium on Information Technology Convergence (ISITC 2007) </i> &nbsp;
Second order hold is a method can provide a high precision for discretization of input-driven nonlinear systems. A new discretization scheme combined second order hold with Taylor-series is proposed.  ...  Various sampling rates, time-delay values and truncation order of Taylor-series are considered to investigate the proposed method.  ...  The present study aims at the development of a new method for the time discretization of nonlinear inputdriven dynamic systems with time delay based Taylor series and second-order hold assumption.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/isitc.2007.35">doi:10.1109/isitc.2007.35</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3fscrebkljdwlhedcmgadwwz5u">fatcat:3fscrebkljdwlhedcmgadwwz5u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810154412/http://www.joinville.udesc.br/portal/professores/farias/materiais/Second_Order_Hold_Based_Discretization_Method_of.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/0b/16/0b166b1147a329078f2c9b854660225431ed7c24.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/isitc.2007.35"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Second order hold and taylor series based discretization of SISO input time-delay systems

Zheng Zhang, Kil To Chong
<span title="">2009</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vrhl7ochdjby5clgwshtzjfxxm" style="color: black;">Journal of Mechanical Science and Technology</a> </i> &nbsp;
Second order hold is a method that enables the discretization of input-driven nonlinear systems to be carried out with high precision.  ...  Various sampling rates, delay times and truncation orders of the Taylor-series are considered to investigate the proposed method.  ...  Acknowledgment This work was supported by a grant from the Second stage of Brain Korea 21.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s12206-008-0820-z">doi:10.1007/s12206-008-0820-z</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kc4bwz7zbzfjfdeb4yqmsglygm">fatcat:kc4bwz7zbzfjfdeb4yqmsglygm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810073112/http://www.j-mst.org/On_line/admin/files/17-08306_136-148_.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/e5/c5/e5c553791ccda7c554159c246baba18a7980f1d1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s12206-008-0820-z"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Discretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold

Yuan-Liang Zhang
<span title="">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nvylz6fxhjaqtckvt4zfwob2qi" style="color: black;">International Journal of Automation and Computing</a> </i> &nbsp;
This paper proposes a discretization method based on Taylor series and the SOH assumption for the nonlinear systems with the time delayed non-affine input.  ...  This proposed discretization method can provide a precise and finite dimensional discretization model for the nonlinear time-delayed non-affine system by keeping the truncation order of the Taylor series  ...  Conclusion A scheme based on the Taylor series combined with the SOH assumption is proposed for the derivation of a discretetime representation of the nonlinear systems with time de-layed non-affine input  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11633-014-0795-4">doi:10.1007/s11633-014-0795-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qpktxbd3x5fwfkl2w5h2rtcbde">fatcat:qpktxbd3x5fwfkl2w5h2rtcbde</a> </span>
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A new time-discretization for delay multiple-input nonlinear systems using the Taylor method and first order hold

Yuanliang Zhang, Olga Kostyukova, Kil To Chong
<span title="">2011</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lx7dev2le5anbg6oarljwh7lie" style="color: black;">Discrete Applied Mathematics</a> </i> &nbsp;
In particular, the present study aims to develop a new method for the time discretization of multi-input-driven nonlinear dynamic systems with time delay, based on the Taylor series and FOH assumption.  ...  A new discretization method is proposed for multi-input-driven nonlinear continuous systems with time-delays, based on a combination of the Taylor series expansion and the first-order hold (FOH) assumption  ...  Acknowledgement This work was supported by the grant of the Second stage of Brain Korea 21.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.dam.2011.01.022">doi:10.1016/j.dam.2011.01.022</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/feqygbueajcprhm42cyxnnvykq">fatcat:feqygbueajcprhm42cyxnnvykq</a> </span>
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Multi-step Prediction Algorithm of Traffic Flow Chaotic Time Series Based on Volterra Neural Network

Lisheng Yin, Yigang He, Xueping Dong, Zhaoquan Lu
<span title="2013-06-01">2013</span> <i title="International Academy Publishing (IAP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3uo3zcmrgvgspdzqe6w6sjoezq" style="color: black;">Journal of Computers</a> </i> &nbsp;
The accurate traffic flow time series prediction is the prerequisite for achieving traffic flow inducible system.  ...  Combing with the chaos theory and the Volterra functional analysis, method of the truncation order and the truncation items is given and the VNN model of traffic flow time series is built.  ...  to the number of neurons of the ANN model input layer.3) From a method for solving point of view, Traffic flow chaotic time series Volterra model is based on orthogonal polynomials for the numerical approximation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4304/jcp.8.6.1480-1487">doi:10.4304/jcp.8.6.1480-1487</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5ruo6spt2nertjbdtl6o6usaq4">fatcat:5ruo6spt2nertjbdtl6o6usaq4</a> </span>
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Implementing Discrete-time Fractional-order Controllers

J. A. Tenreiro Machado
<span title="2001-09-20">2001</span> <i title="Fuji Technology Press Ltd."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5tgds5udzvg2rh52u6wkzo5e4u" style="color: black;">Journal of Advanced Computational Intelligence and Intelligent Informatics</a> </i> &nbsp;
The algorithms studied adopt the time domain, which makes them suited for z-transform analysis and discretetime implementation.  ...  The paper discusses the design of fractional-order discrete-time controllers.  ...  in ( 16), for comparison purposes, the Taylor series expansion results: Z { n!  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.20965/jaciii.2001.p0279">doi:10.20965/jaciii.2001.p0279</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vriw2mrlbbb5lbe6ygb4dftexa">fatcat:vriw2mrlbbb5lbe6ygb4dftexa</a> </span>
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Volterra models and three-layer perceptrons

V.Z. Marmarelis, X. Zhao
<span title="">1997</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/22mhkeaq5zdqlmtti5oidj26fi" style="color: black;">IEEE Transactions on Neural Networks</a> </i> &nbsp;
Discrete-time Volterra models (DVM's) are often used in the study of nonlinear physical and physiological systems using stimulus-response data.  ...  the context of nonlinear system modeling.  ...  Since this study is concerned with input data that are ordered in discrete time sequence, we consider a tapped-delay input, where for each time index .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/72.641465">doi:10.1109/72.641465</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/18255744">pmid:18255744</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pilr3cee5bakvbuvsho4uogev4">fatcat:pilr3cee5bakvbuvsho4uogev4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150919100919/http://bmsr.usc.edu/files/2012/12/IEEE-TNN-1997.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/b0/9f/b09f5f2a16177520197bf7b74e28907fc04872fd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/72.641465"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Direct and inverse Hopf bifurcation in a neutral delay differential equation model of reed conical instrument

Tom Colinot, Louis Guillot, Jean Kergomard
<span title="">2019</span> <i title="RWTH Aachen University"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/m2cho7mmmbgxzdpfz7cmjgegbu" style="color: black;">Proceedings of the ICA congress</a> </i> &nbsp;
and a Taylor series based continuation method of periodic solutions, based on the harmonic balance method.  ...  In the case of conical instruments, the nature of the bifurcation has been studied analytically before, for instance using geometrical approximations based on cylinders.  ...  This study has been supported by the French ANR LabCom LIAMFI (ANR-16-LCV2-007-01).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.18154/rwth-conv-239409">doi:10.18154/rwth-conv-239409</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jxrn5sxhwnaariiucgfbqt63d4">fatcat:jxrn5sxhwnaariiucgfbqt63d4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200208005648/http://publications.rwth-aachen.de/record/769820/files/769820.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/16/97/1697c261c033b025731d9d608ff89b4bc51e2de4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.18154/rwth-conv-239409"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Differential recurrent neural network based predictive control

R.K. Al Seyab, Yi Cao
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/u3s73v5btvfqjfntuhxfqyeema" style="color: black;">Computers and Chemical Engineering</a> </i> &nbsp;
A good model fitting for the nonlinear plant at different sampling rates is obtained using the new method.  ...  In the new training algorithms, the ODEs of the model and the dynamic sensitivity are solved simultaneously using Taylor series expansion and automatic differentiation (AD) techniques.  ...  Let the state of (1) be a Taylor series up to d terms, i.e.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2007.07.007">doi:10.1016/j.compchemeng.2007.07.007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xspkyxrnz5afzh5y5i57waj4p4">fatcat:xspkyxrnz5afzh5y5i57waj4p4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200306211440/http://eprints.glos.ac.uk/7476/1/Al%20Sayeb%2C%20R.K.%20%282006%29%20Differential%20recurrent%20neural%20network%20based%20predicative%20control.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/0b/2b0b872e6421bd64fc452509ccc92356ec39e15b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2007.07.007"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

An Alternative Design Approach for Fractional Order Internal Model Controllers for Time Delay Systems

C.I. Muresan, I. Birs, R. De Keyser
<span title="2021-01-12">2021</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nn7wkdg6krfshoinehn4d7nrfi" style="color: black;">Journal of Advanced Research</a> </i> &nbsp;
for time delay systems.  ...  The obtained results are used to compare the proposed tuning strategy with a popular FO-IMC tuning approach, based on the Taylor series approximation of the time delay.  ...  Acknowledgement This work was supported by a grant of the Romanian Ministry of Education and Research, CNCS-UEFISCDI, project number PN-III-P1-1.1-TE-2019-0745, within PNCDI III.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jare.2021.01.004">doi:10.1016/j.jare.2021.01.004</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/34194841">pmid:34194841</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC8240371/">pmcid:PMC8240371</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g75t3xaj75b55hyogydbzyxera">fatcat:g75t3xaj75b55hyogydbzyxera</a> </span>
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Page 5424 of Mathematical Reviews Vol. , Issue 82m [page]

<span title="">1982</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Author’s summary: “New discrete-time filtering methods for the computation of interpolating function coefficients from input signal samples are presented.  ...  The conditions for stability of a system in a quasistationary regime of control are determined, and the influence of nonlinearity of the characteristic of the correlator on the nature of the actions in  ... 
<span class="external-identifiers"> </span>
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Predictive input delay compensation for motion control systems

Eray A. Baran, Asif Sabanovic
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2mml5zlalnahljfysic6lomtom" style="color: black;">2012 12th IEEE International Workshop on Advanced Motion Control (AMC)</a> </i> &nbsp;
This paper presents an analytical approach for the prediction of future motion to be used in input delay compensation of time-delayed motion control systems.  ...  Once the future input signal is created, it is used as the reference input of the remote system to enforce an input time delayed system, conduct a delay-free motion.  ...  ACKNOWLEDGEMENT The authors would gratefully acknowledge the TUBITAK Project 111M359 and the Yousef Jameel Scholarship for the financial support.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/amc.2012.6197035">doi:10.1109/amc.2012.6197035</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/amc/BaranS12.html">dblp:conf/amc/BaranS12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/akfqsp5mizgvtfpukptvl5wfpq">fatcat:akfqsp5mizgvtfpukptvl5wfpq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170811194047/https://research.sabanciuniv.edu/19710/1/2012_RA380_AMC_2012_06197035.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/49/da/49da1b75349736d69ab2699ad998f98048124df6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/amc.2012.6197035"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Evolution of Black-Box Models Based on Volterra Series

Daniel D. Silveira, Thiago V. N. Coelho, Alexandre Bessa dos Santos
<span title="">2015</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xdzjuti5nzejrghubfpezefpqi" style="color: black;">Journal of Applied Mathematics</a> </i> &nbsp;
It also discusses the evolution of these models, from a single polynomial to multirate Volterra models, presenting equations and estimation methods.  ...  This paper presents a historical review of the many behavioral models actually used to model radio frequency power amplifiers and a new classification of these behavioral models.  ...  Acknowledgments This work was supported by the PPEE-UFJF, http://www .ufjf.br/ppee/, Federal University of Juiz de Fora, http://www .ufjf.br/, Programa de Apoioà Publicação/Pró-reitoria de Pesquisa/Universidade  ... 
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Page 4647 of Mathematical Reviews Vol. , Issue 93h [page]

<span title="">1993</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Taylor and G. E. Taylor, The application of recursive identifica- tion based on delta operators (627-631); M. A. Brdys and K.  ...  They present a numerical study based on a comparison among three Ritz-Galerkin approximation schemes to compute functional feedback gains.  ... 
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Novel Neural Network application to nonlinear electronic devices: building a Volterra series model

G. Stegmayer, Omar Chiotti
<span title="2006-02-08">2006</span> <i title="IBERAMIA: Sociedad Iberoamericana de Inteligencia Artificial"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5qve3fgne5dh3mzbzovoilyufm" style="color: black;">Inteligencia Artificial</a> </i> &nbsp;
We propose a simple approach for the generation of the Volterra model for a device, even in the case of a nonlinearity that depends on more than one variable, which allows obtaining a general model, independent  ...  In particular, we will show the results obtained for the analysis of a transistor and the generation of its analytical Volterra series model, built using a standard Neural Network model and its parameters  ...  The Volterra description for an electronic device is based on Taylor-series expansions of the device nonlinearity around a fixed bias point or around a time-varying signal [6] .  ... 
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