Bibliografie
Journal Article
Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach
, ,
: Journal of the Franklin Institute-Engineering and Applied Mathematics vol.353, 14 (2016), p. 3457-3486
: GA13-20433S, GA ČR, GJ16-25493Y, GA ČR
: Multi-agent nonlinear systems, structured Lyapunov functions
: 10.1016/j.jfranklin.2016.06.028
: http://library.utia.cas.cz/separaty/2016/TR/celikovsky-0462691.pdf
(eng): 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