Strictly dissipative control for Markovian jump descriptor systems

Abstract

This paper focuses on the problem of strictly dissipative control for Markovian jump descriptor systems described by Itô's form. By means of linear matrix inequality, a sufficient condition is derived to make sure that a Markovian jump descriptor system is stochastically admissible and strictly dissipative. Based on the condition, a sufficient condition is also given by designing a partially mode-dependent state feedback controller, such that the resulting closed-loop system is stochastic admissible and strict dissipative. A numerical example is given to demonstrate the validity of the given method.