Robust stabilization of non-stationary Markov jump 2-D systems with multiplicative noises

This paper deals with the problem of stabilization via synchronous state-feedback control for twodimensional (2-D) discrete-time Roesser systems with stochastic parameters involving switchings and multiplicative stochastic noises. The switching process is driven by an inhomogeneous Markov chain whose transition probability matrix is piecewise time-invariant and external disturbances are of the type of white noises, which get multiplied into both system state and input vectors. Stability and tractable controller design conditions are derived based on a 2-D mode-dependent Lyapunov function approach, which are validated by a numerical example with simulations. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper addresses the stabilization problem of two-dimensional discrete-time Roesser systems with stochastic parameters and multiplicative stochastic noises through synchronous state-feedback control. The stability and tractable controller design conditions are derived based on a 2-D mode-dependent Lyapunov function approach and validated through a numerical example with simulations.