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Distributed adaptive synchronization for a class of complex dynamical networks with Markovian switching

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In the article, we investigate the distributed adaptive synchronization problem for complex networks with actuator faults under M-matrix approach. Firstly, a realistic discrete-time Markov chain is used to describe the… Click to show full abstract

In the article, we investigate the distributed adaptive synchronization problem for complex networks with actuator faults under M-matrix approach. Firstly, a realistic discrete-time Markov chain is used to describe the stochastic behavior of actuator faults. Secondly, based on the distributed adaptive control scheme, some synchronization criteria for a class of complex networks with actuator faults are obtained. Furthermore, a new distributive adaptive law depending on Markovian chain is designed. Lastly, the validity of the proposed theories is verified by a numerical example.In the article, we investigate the distributed adaptive synchronization problem for complex networks with actuator faults under M-matrix approach. Firstly, a realistic discrete-time Markov chain is used to describe the stochastic behavior of actuator faults. Secondly, based on the distributed adaptive control scheme, some synchronization criteria for a class of complex networks with actuator faults are obtained. Furthermore, a new distributive adaptive law depending on Markovian chain is designed. Lastly, the validity of the proposed theories is verified by a numerical example.

Keywords: distributed adaptive; adaptive synchronization; actuator faults; synchronization; class complex

Journal Title: AIP Advances
Year Published: 2018

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