Abstract
This paper develops some new results on semistability and asymptotic stability of switched systems using multiple Lyapunov functions. The main results of the paper involve sufficient conditions for guaranteeing semistability and asymptotic stability of switched systems using multiple Lyapunov functions and a class of switching conditions. Moreover, converse Lyapunov theorems for a finite family of pairwise commuting semistable systems are also developed. Using these stability results and an extended notion of homogeneity for switched systems, we derive some robustness results for asymptotic stability and semistability of switched systems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
