Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay

الملخص EN

This paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay.

The statistical property of the Markov process is fully used to derive the differential of the function.

By using a delay decomposition method, a mode-dependent Lyapunov-Krasovskii function is established.

A sufficient condition is proposed for exponential stability in mean square of the system designing the memoryless state feedback.

A numerical example shows that the approach proposed is effective.