journal article·2018-12Open access

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

An-Ding Dai, Dong-Yun Yi, Wu-Neng Zhou, Pei-Ying Xiong, Yu-Ming Chu

AIP Advances· Volume 8· Issue 12

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.
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Research context

OpenAlex topics: Neural Networks Stability and Synchronization · Nonlinear Dynamics and Pattern Formation · Distributed Control Multi-Agent Systems

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Affiliations

College of Science, National University of Defense Technology, Changsha 410073, China

School of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China

College of Information Science and Technology, Donghua University, Shanghai 201620, China

Department of Mathematics, Huzhou University, Huzhou 313000, China

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