H?Control for Markovian Jump Delay Systems with Distributed Delay

Abstract

Abstract-This paper aims to design the H∞ controller for continuous Markovian jump systems with distributed delay. First, a new integral inequality is proposed. Next, based on the constructed Lyapunov functional, the new introduced inequality is used to investigate the delay-dependent stability condition for the systems. Third, a delay-dependent condition is derived for the solvability of the H∞ control problem, and the desired controller can be obtained. Finally, a numerical example is provided to demonstrate the effectiveness and the less conservatism of the method.