New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances

In this paper, we study exponential stability of switched time-varying systems with bounded delays and nonlinear disturbances. By introducing a model transformation and using a novel method which does not involve the Lyapunov-Krasovskii functional, new explicit criteria for exponential stability of the system under arbitrary switching have been established in terms of Metzler matrices. Numerical examples show that the obtained results can be applied to some cases not covered by preceding results.