Delay-Dependent Robust Stability of Networked Control Systems with Uncertainties and Multiple Time-Varying Delays

This paper deals with the problem of delay-dependent robust stability for networked control systems (NCSs) with time-varying structured uncertainties and multiple time-varying state delays. Modeling of multi-input and multi-output (MIMO) NCSs with network-induced delays by new methods are proposed. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques and taking the relationship between the terms in the Leibniz-Newton formula into account, some new delay-dependent stability criteria in terms of LMIs are derived. Since free weighting matrices are used to express this relationship and appropriate ones are selected by means of LMIs, the new criteria are much less conservative and are more general than the existing ones. Numerical examples and simulation suggest that the methods are less conservative and more effective