Absolute Stability of State Feedback Time-Delay Systems

Abstract

Given a linear time-delay system and a corresponding algebraic Riccati equation, a method is proposed for synthesizing state feedback controllers for nonlinear Lurie’s control systems. Using Lyapunov functional analysis, the state feedback controllers of insuring absolute stability of closed systems is proposed, and the corresponding sector of absolute stability is also given. By using the comparison results of the algebraic Riccati equation, it is easy known that when the gain becomes larger, the sector of absolute stability becomes bigger.