Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays

Abstract

In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the Lyapunov functional for the initial function of time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.

Keywords

• time-delay system
• Lyapunov matrix
• Lyapunov functional