2000 character limit reached
Sufficient Lyapunov conditions for exponential mean square stability of discrete-time systems with markovian delays (extended version) (2104.12809v1)
Published 26 Apr 2021 in eess.SY and cs.SY
Abstract: This paper introduces sufficient Lyapunov conditions guaranteeing exponential mean square stability of discrete-time systems with markovian delays. We provide a transformation of the discrete-time system with markovian delays into a discrete-time Markov jump system. Then, we extend sufficient Lyapunov conditions existing for the global asymptotic stability of discrete-time systems with delays digraphs to the mean square stability of discrete-time systems with markovian delays. Finally, an example is provided to illustrate the efficiency and advantage of the proposed method.