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This article studies the finite-time resilient integral sliding-mode control (ISMC) problem for fuzzy impulsive stochastic systems under denial-of-service (DoS) attacks. A switched state observer is designed to estimate immeasurable states under DoS attacks. Using the designed switched observer and finite-time theory, a fuzzy resilient output feedback ISMC method is proposed. Then, the finite-time stability conditions of the closed-loop system are given. The control design algorithm of solving control and observer gain matrix solutions is formulated by linear matrix inequalities. The effectiveness of the presented control method and analysis is tested by means of a simulation example and comparisons with an existing control approach.
Song et al. (Mon,) studied this question.