Special Session 28: 

Approximate synchronization in coupled systems

Jui-Pin Tseng
Chengchi University
Taiwan
Co-Author(s):    Chih-Wen Shih
Abstract:
This talk presents a framework to investigate the approximate synchronization of coupled non-identical systems under general coupling schemes with delays. Both delay-dependent and delay-independent criteria for approximate synchronization are derived, based on an approach termed sequential contracting. It is elucidated that the synchronization error decreases with decreasing difference between subsystems, and variations of row sums of the connection matrix and coupling time delays. This error vanishes when these factors decay to zero, and approximate synchronization becomes identical synchronization for the coupled system. Several examples with numerical simulations are given to illustrate the present theory.