CONVERGENCE OF SOLUTIONS OF NONAUTONOMOUS PERTURBED SINGULAR SYSTEMS VIA A REFINED INTEGRAL INEQUALITY

Abstract

The construction of a suitable Lyapunov function is still a difficult task. This paper mainly analyzes the practical uniform exponential stability of linear time-varying singular systems, which are transferable into standard canonical form. Our method is based on the explicit solution form of the system via integral inequalities of the type of Gamidov under some restrictions of the perturbation term. An example is analyzed to verify the effectiveness of the proposed approach.