Input-to-State Stability of Singularly Perturbed Control Systems with Delays

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.

Bibliographic Details
Main Authors: Yongxiang Zhao, Aiguo Xiao, Li Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/401572