Lyapunov matrices approach to the parametric optimization of time-delay systems

Abstract

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

Keywords

• time-delay system
• Lyapunov matrix
• Lyapunov functional