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Event-triggered sliding mode control for switched genetic regulatory networks with persistent dwell time
Institution:1. Research Center for Complex Systems and Network Sciences, and Department of Mathematics, Southeast University, Nanjing 210096, China;2. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;1. School of Science, Shandong Jianzhu University, Jinnan, 250101, China;2. LSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;4. School of Automation Science and Electrical Engineering, State Key Laboratory of Software Development Environment, and Beijing Avanced Innovation Center for Big Data and Brain Machine Intelligence, Beihang University, Beijing 100083, China;1. School of Automation Engineering, Northeast Electric Power University, Jilin, Jilin 132012, China;2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Abstract:This paper focus on the event-triggered sliding mode controller design for discrete-time switched genetic regulatory networks (GRNs) with persistent dwell time (PDT) switching. Firstly, the observation error dynamics of switched GRNs with PDT is constructed in the light of event-triggered sliding mode control (SMC) scheme. Next, sufficient conditions are derived to ensure the exponential stability of the augmented plant. Moreover, an event-triggered SMC law is synthesized to impel the system trajectories onto the sliding surface in a finite time. Finally, a verification example is provided to illustrate the effectiveness and potential of the proposed method.
Keywords:Event-triggered scheme  Switched genetic regulatory networks  Persistent dwell time switching  Sliding mode control
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