Stability analysis of spatially interconnected discrete-time systems with random delays and structured uncertainties

Abstract

In this paper, robust stability analysis of spatially interconnected systems with random delays as well as structured uncertainties in discrete-time domain is presented. The random delays are represented as a series of Markovian jumping parameters with some transition probability. A sufficient condition to guarantee well-posedness, stochastic stability, and H-infinity performance of the spatially interconnected systems is established. Through numerical simulations, the validity of the proposed approach is illustrated. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.