Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays

Abstract

Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived. These conditions, being independent of the parameter of singular perturbation, provide the controllability of the systems for all sufficiently small values of the parameter. Illustrative examples are presented.

Keywords

• singularly-perturbed nonlinear system
• time delay system
• functional controllability