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

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 ∞ performance of the spatially interconnected systems is established. Through numerical simulations, the validity of the proposed approach is illustrated.