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Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects

School of Automation, Guangdong University of Technology, Guangzhou 510006, China
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Entropy 2019, 21(8), 779; https://doi.org/10.3390/e21080779
Received: 29 May 2019 / Revised: 22 July 2019 / Accepted: 23 July 2019 / Published: 8 August 2019
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Abstract

In this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analysis technique, and suitable comparison systems to guarantee finite-time synchronization. At last, numerical examples are exploited to illustrate our theoretical results, and they testify the effectiveness of our results for complex dynamic systems.
Keywords: finite-time synchronization; Markovian jumping; impulsive effects; non-identical node; complex networks finite-time synchronization; Markovian jumping; impulsive effects; non-identical node; complex networks
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Chen, T.; Peng, S.; Zhang, Z. Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects. Entropy 2019, 21, 779.

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