Stability Analysis of Switched Systems with Mixed Delayed and Nonlinear Perturbations
This note deals with a class of switched systems with nonlinear perturbations in mixed delayed state. Based on the multiple functional appoach, we establish a delay dependent stability condition via designing appropriate switching rule. This result indicates that if the norm of system matrices is small enough, the uniform asymptotic stability is always achieved.
X. Y. Ding et al., "Stability Analysis of Switched Systems with Mixed Delayed and Nonlinear Perturbations", Advanced Materials Research, Vols. 217-218, pp. 901-906, 2011