A new estimate of DoA for saturated systems and its applications

A new method for estimating the domain of attraction(DoA) for saturated systems was presented. Compared with the existing results, the advantage of the new result is mainly twofold: ① It does not include any product by the system matrix and the Lyapunov matrix; ② It does not result in heavy computing cost. It will be seen that these features are essentially important in system analysis. For comparison, the new result was extended to uncertain saturated systems, which shows that it leads to less conservativeness. Numerical examples verify the correctness of the conclusion.