Stability for bilinear time-delay systems with saturating actuators

The stability of a bilinear system with stated delay and saturating actuator is discussed. Delay-dependent sufficient conditions for the uniform asymptotic stability of the closed-loop systems via a memoryless static state feedback controller is developed. The matrix measure and comparison theorem are employed to investigate the problem. The results obtained omit solving the Lyapunov function or Riccati equation and is less conservative than the delay-dependent criterion for the same example when delay is small. The authors´ result is demonstrated by an illustrate example