Estimation of stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions

This paper deals with the stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF). Using the homogeneous parameter-dependent quadratic Lyapunov functions, a new method about estimation of stability regions is obtained. Through formulating the problem as LMIs optimization problem, the new method can get less conservative results than those existing ones. Numerical examples illustrate the effectiveness of our method.