STABILIZATION OF VECTOR THIRD-ORDER SYSTEMS VIA A STATIC OUTPUT-FEEDBACK CONTROL WITH STABILIZATION DELAYS

摘要

This paper addresses the problem of stabilization of the vector third-order systems via multi-delay output feedback control. Two main approaches are suggested for the Lyapunov stability analysis via simple Lvapunov-Krasovskii functionals. The first one is based on the application of Writinger's inequality to establish the delay-dependent sufficient conditions of asymptotically stabilization for a class of vector third-order systems. Another approach is the neutral type model transformation of the system to lead to the stabilization criteria for a class of vector third-order systems. Both have obtained the sufficient conditions for stabilization vector third-order systems. A numerical example is provided to demonstrate the effectiveness of the proposed methods.