New Delay-Range-Dependent Robust Exponential Stability Criteria of Uncertain Impulsive Switched Linear Systems with Mixed Interval Nondifferentiable Time-Varying Delays and Nonlinear Perturbations

摘要

We investigate the problem of robust exponential stability analysis foruncertain impulsive switched linear systems with time-varying delays and nonlinear perturbations. The time delays are continuous functions belonging to the given interval delays,which mean that the lower and upper bounds for the time-varying delays are available, butthe delay functions are not necessary to be differentiable. The uncertainties under considerationare nonlinear time-varying parameter uncertainties and norm-bounded uncertainties,respectively. Based on the combination of mixed model transformation, Halanay inequality,utilization of zero equations, decomposition technique of coefficient matrices, and a commonLyapunov functional, new delay-range-dependent robust exponential stability criteria are establishedfor the systems in terms of linear matrix inequalities (LMIs). A numerical exampleis presented to illustrate the effectiveness of the proposed method.