Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 29, Issue -, Pages 85-99Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2017.12.002
Keywords
Synchronization; Singular complex networks; Mixed time-delayed; Linear matrix inequality
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Funding
- National Natural Science Foundation of China [61273004]
- Natural Science Foundation of Hebei Province [F2018203099]
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This paper makes a study on the problem of synchronization for singular complex networks with Markovian jumping parameters and mixed time-delays. The system consists of N nodes which switch from one mode to another according to a Markovian chain with known transition probability. Based on the strategies of pinning control, the singular complex networks are synchronized. A new type of criterion for synchronization can be obtained by means of utilizing the appropriate Lyapunov-Krasovskii function, the linear matrix inequality (LMI) approach, stochastic analysis techniques and the convexity of matrix functions. Finally, simulation examples are employed to demonstrate the effectiveness of the proposed method. (C) 2018 Elsevier Ltd. All rights reserved.
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