0462691 20240111140924.620160916235959.9 84991832966 000381840500008 10.1016/j.jfranklin.2016.06.028 Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach 30 s. P cav_un_epca*02537790016-0032Journal of the Franklin Institute-Engineering and Applied Mathematics35314 (2016)3457-3486Elsevier Multi-agent nonlinear systems structured Lyapunov functions cav_un_auth*0333501 Hengster-Movric K. CZ cav_un_auth*0021057 Šebek M. CZ cav_un_auth*0101074 Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Čelikovský Sergej UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/TR/celikovsky-0462691.pdf 1,04 MB cav_un_auth*0292613 GA13-20433S GA ČR cav_un_auth*0333771 GJ16-25493Y GA ČR CZ This paper brings structured Lyapunov functions guaranteeing cooperative state synchronization of identical agents.Versatile synchronizing region methods for identical linear systems motivate the structure of proposed Lyapunov functions.The obtained structured functions are applied to cooperative synchronization problems for affine-in-control nonlinear agents. For irreducible graphs a virtual leader is used to analyze synchronization. For reducible graphs ac ombination of cooperative tracking and irreducible graph cooperative synchronization is used to address cooperative dynamics by Lyapunov methods. This provides a connection between the synchronizing region analysis,incremental stability and Lyapunov cooperative stability conditions. BC 2017 3 4 A hod 4ah 20231122141854.4 RVO:67985556 http://hdl.handle.net/11104/0262337 cav_un_auth*0322643 Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic FEL CVUT CZ cav_un_auth*0333503 Czech Institute of Informatics, Robotics and Cybernetics, Czech Technical university in Prague CIIRC CVUT CZ 1 Department of Control Theory UTIA-B 20205 AUTOMATION & CONTROL SYSTEMS S 2 Article Automation Control Systems|Engineering Multidisciplinary|Engineering Electrical Electronic|Mathematics Interdisciplinary Applications AUTOMATION&CONTROLSYSTEMS|ENGINEERING.ELECTRICAL&ELECTRONIC|ENGINEERING.MULTIDISCIPLINARY|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 3.043 0.335 4 0.01181 0.694 5470 1.155 Q1 2.635 263 Q1 58.543 85.1 Q2 Q1 94.5 2016 Soubory v repozitáři: celikovsky-0462691.pdf 84991832966 SCOPUS 000381840500008 WOS 1,04 MB cav_un_epca*0253779 Journal of the Franklin Institute-Engineering and Applied Mathematics 0016-0032 1879-2693 Roč. 353 č. 14 2016 3457 3486 Elsevier