Input-to-state stability of singularly perturbed control systems with delays

Abstract

We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays. © 2013 Yongxiang Zhao et al.