Abstract
AbstractThis 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.
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