Abstract
Problem of the p-th mean exponential stabilizability of a class of stochastic linear control hybrid systems with unstable subsystems is considered. Sufficient conditions for the p-th mean exponential stabilizability under a feedback control and a stabilizing switching signal, that is constructed based on the Lyapunov techniques, the knowledge of regions of decreasing of Lyapunov functions for subsystems and the average dwell time approach, are derived. Three cases, including the existence of a single Lyapunov function, a multiple Lyapunov function and a single Lyapunov-like function, are discussed. Obtained results are illustrated by an example.
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.
