Stability criteria for bilinear systems with delayed state and saturating actuators

Abstract

In this paper, the problem of the closed-loop stability of a class of bilinear systems with delayed state and saturating actuators is considered. Delay-independent sufficient conditions for the uniform asymptotic stability of the closed-loop system via a memoryless static state feedback are developed. The closed-loop stability conditions and the corresponding memoryless control laws are expressed in terms of symmetric positive definite solutions of appropriate finite dimensional algebraic Riccati equations.