Finite-time resilient decentralized control for interconnected impulsive switched systems with neutral delay |
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Affiliation: | 1. School of Engineering, Qufu Normal University, Rizhao 276826, PR China;2. School of Information Science and Engineering, Qufu Normal University, Rizhao 276826, PR China;3. School of Reliability and systems Engineering, Beihang University, Beijing 100191, PR China |
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Abstract: | This paper is concerned with the problem of finite-time control for a class of interconnected impulsive switched systems with neutral delay in which the time-varying delay appears in both the state and the state derivative. The concepts of finite-time boundedness and finite-time stability are respectively extended to interconnected impulsive switched systems with neutral delay for the first time. By applying the average dwell time method, sufficient conditions are first derived to cope with the problem of finite-time boundedness and finite-time stability for interconnected impulsive switched systems with neutral delay. In addition, the purpose of finite-time resilient decentralized control is to construct a resilient decentralized state-feedback controller such that the closed-loop system is finite-time bounded and finite-time stable. All the conditions are formulated in terms of linear matrix inequalities to ensure finite-time boundedness and finite-time stability of the given system. Finally, an example is presented to illustrate the effectiveness of the proposed approach. |
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Keywords: | Interconnected impulsive switched systems Neutral delay Finite-time stability Finite-time boundedness Resilient decentralized switched control |
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