Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System

Abstract EN

This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.

The proposed method employs an improved Wirtinger-type inequality for constructing a new Lyapunov functional with triple integral items.

By using the convex expression of the nonlinear perturbation function, the original nonlinear Lur'e system is transformed into a linear uncertain system.

Based on the Lyapunov stable theory, some novel delay-depended stability criteria for the researched system are established in terms of linear matrix inequality technique.

Three numerical examples are presented to illustrate the validity of the main results.