Comparison of stability characterisations for networked control systems

This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling intervals, packet dropouts and time-varying delays that may be both smaller and larger than the sampling interval. The problem is approached from a discrete-time modelling perspective. A comparison is made between the use of parameter dependent Lyapunov functions and Lyapunov-Krasovskii functions for stability analysis. Examples illustrate the developed theory.