Finite-region dissipative control for two-dimensional Roesser systems via Markov jumping mechanism

Abstract

This paper focuses on the dissipative control design problem for a class of Markov jump systems (MJSs) via two-dimensional (2D) Roesser models. In terms of Lyapunov functional methods and linear matrix inequalities techniques, sufficient conditions are established to obtain the dissipative controller, such that the closed-loop system is finite-region bounded with (Q, S, $R$)-κ-dissipative performance. Finally, the potential application of the designed approach is demonstrated via a numerical example of Darboux equations.