Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 51, Issue 2, Pages 242-257Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2019.1703057
Keywords
Fixed-time; stochastic synchronisation; chattering-free control; two-layer networks
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Funding
- National Natural Science Foundation of China [11747141, 61504013, 61803322]
- Natural Science Foundation of Hunan Province [2018JJ3512]
- Scientific Research Foundation of Hunan Provincial Education Department [17C1534]
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This paper sheds light on the problem of fixed-time continuous stochastic outer synchronisation for two-layer networks with different topologies, which can be undirected or directed. With the Lyapunov stability theory, several sufficient conditions are obtained. To guarantee the fixed-time continuous stochastic synchronisation of two-layer dynamic networks, the continuous chattering-free feedback controllers are designed. Finally, simulation examples are provided to illustrate the effectiveness of our results.
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