Abstract

This paper studies stability of control systems over a communication network with spatially correlated fading channels. We consider a multiple-input multiple-output linear time-invariant discrete-time closed-loop system in which communications are done through multiple correlated multiplicative channels. Particularly, we provide conditions that relate the stability of the above networked control system (NCS) to the stability of an auxiliary closed-loop system that replaces the multiplicative channels by additive noise channels. This provides a simple framework to analyse NCSs over correlated multiplicative channels since standard linear systems tools can be used to analyse stability as opposed to consider the multiplicative non-linearity explicitly in the analysis. Thereby, we extend existing results in the literature that contain similar conditions for uncorrelated channels only. Copyright (C) 2020 The Authors.