The Reachable Set Estimation for Continuous-time Delayed Nonlinear Switched Systems with Impulsive Perturbation

In this paper, we mainly study the reachable set estimation problem of the continuous-time delayed nonlinear switched systems with impulsive perturbation under the condition of zero initial state and bounded peak disturbances. The purpose is to acquire a set of bounded ellipsoids that can include all the states starting from the origin. By adopting the real bounded lemma, integral inequality techniques, the free weight matrix method, we get a sufficient condition in the form of linear matrix inequality (LMI) for the continuous-time delayed nonlinear switched system with impulsive perturbation, so as to insure that all the state trajectories of the studied system are restricted to a closed bounded set. Eventually, a specific numerical example is given to illustrate the effectiveness and correctness of the results obtained in this paper.