Abstract
This paper is concerned with the mean-square asymptotic stability of stochastic system with Markovian switching and Lévy noise by adaptive control method. Firstly, a class of general systems is considered and the information including the bounds of the nonlinear parameters and external disturbance is unavailable. Then an adaptive controller is designed to achieve the scheduled goal by utilizing Lyapunov function and M-matrix method. Next, a class of Markov jump linear systems which suffers unknown external disturbance and Lévy noise is discussed, the corresponding adaptive controller can force the state trajectories of the systems to achieve mean-square asymptotic stability. Finally, two theoretical examples and a practical example are provided to explain the validity of the presented results.
Sign-in/Register to access full text options 
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.
