Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach

0462691 - ÚTIA 2017 RIV US eng J - Článek v odborném periodiku
Hengster-Movric, K. - Šebek, M. - Čelikovský, Sergej
Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach.
Journal of the Franklin Institute-Engineering and Applied Mathematics. Roč. 353, č. 14 (2016), s. 3457-3486. ISSN 0016-0032. E-ISSN 1879-2693
Grant CEP: GA ČR GA13-20433S
Grant ostatní: GA ČR(CZ) GJ16-25493Y
Institucionální podpora: RVO:67985556
Klíčová slova: Multi-agent nonlinear systems * structured Lyapunov functions
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 3.139, rok: 2016
http://library.utia.cas.cz/separaty/2016/TR/celikovsky-0462691.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0262337