Abstract

In this paper, a new class of switched system, two-level switched system, is studied for its finite-time stability and finite-time boundedness problem. For such switched systems, by combining the basic analysis of finite-time stability with the multi-Lyapunov functions and dwell-time methods in switched systems, in the method of linear matrix inequality, the sufficient conditions and the feedback stabilization method for the switched system to satisfy the finite-time stability under arbitrary switching rules and based on a certain range of dwelling time switching rules are given. Finally, the numerical simulation example is given to verify the correctness of the theory.

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 call

Disclaimer: 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.