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

Fangqing Ding and Xianfa Jiao

Mathematical Problems in Engineering, 2013, vol. 2013, 1-13

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:420420

DOI: 10.1155/2013/420420

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