Affiliation:
1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China
Abstract
Abstract
In this paper, the stabilization of coupled regime-switching jump diffusion with Markov switching topologies (CRJDM) is discussed. Particularly, we remove the restrictions that each of the switching subnetwork topologies is strongly connected or contains a directed spanning tree. Furthermore, a feedback control based on discrete-time state observations is proposed to make the CRJDM asymptotically stable. In most existing literature, feedback control only depends on discrete-time observations of state processes, while switching processes are observed continuously. Different from previous literature, feedback control depends on discrete-time observations of state processes as well as switching processes in this paper. Meanwhile, based on graph theory, stationary distribution of switching processes and Lyapunov method, some sufficient conditions are deduced to ensure the asymptotic stability of CRJDM. By applying the theoretical results to second-order oscillators with Markov switching topologies, a stability criterion is obtained. Finally, the effectiveness of the results is illustrated by a numerical example.
Funder
Shandong Province Natural Science Foundation
Key Project of Science and Technology of Weihai
Innovation Technology Funding Project in Harbin Institute of Technology
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Control and Optimization,Control and Systems Engineering