On reachable set problem for impulse switched singular systems with mixed delays

This paper focuses on the reachable set problem for impulse switched singular (ISS) systems with mixed time-varying delays via the Lyapunov theory. To solve the state boundary of system, a real-bounded lemma is developed by analyzing the impulse switching point under bounded disturbance input and initial function. Based on real-bounded lemma and integral inequality technology, a sufficient condition for reachable set of ISS system is established in the form of linear matrix inequalities (LMIs) to ensure that the reachable state of system is limited to a closed bounded set. Simulation results are given to verify the validity of the obtained theoretical results for the reachable state criterion.