Containment Control for Lipschitz Nonlinear Multi-agent Systems with Semi-Markov Switching Topologies. (September 2020)

• Record Type: Journal Article
• Authors: Huang, Hui; Zou, Yuanyuan; Hu, Peng; Cai, Qingrong; Jiang, Li; Liang, Yanyang; Wang, Hongmin; Tang, Jianhua
• Is Part Of: Journal of physics. Volume 1631(2020)
• Publication Date: 2020-09
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1631/1/012107
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: This letter studies containment control and the communicate topologies are driven by a semi-Markov chain. The Lipschitz nonlinear stochastic systems are investigated in this paper. The error system is established by model transformation, and the containment control is transformed into error stability between followers and multiple leaders. Then, a control protocol is employed and a Lyapunov-Krasovskii method is established to analyze the protocol. Moreover, we prove the specific point that followers ultimately will converge to. Finally, we give the conditions that followers converge leader's convex hull in mean square sense.