Fixed-time continuous stochastic synchronisation of two-layer dynamical networks. Issue 2 (25th January 2020)

• Record Type: Journal Article
• Authors: Tan, Fei; Zhou, Lili; Yu, Fei; Lu, Junwei
• Is Part Of: International journal of systems science. Volume 51:Issue 2(2020)
• Page Start: 242
• Page End: 257
• Publication Date: 2020-01-25
• Subjects: Fixed-time -- stochastic synchronisation -- chattering-free control -- two-layer networks; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1703057
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : 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.