Global leader-following consensus in finite time for fractional-order multi-agent systems with discontinuous inherent dynamics subject to nonlinear growth. (August 2020)

• Record Type: Journal Article
• Authors: Wang, Xiaohong; Wu, Huaiqin; Cao, Jinde
• Is Part Of: Nonlinear analysis. Volume 37(2020)
• Publication Date: 2020-08
• Subjects: Fractional multi-agent systems -- Global consensus in finite time -- Discontinuous inherent dynamics -- Lyapunov functional approach -- Filippov differential inclusion; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100888
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper considers the global leader-following consensus of fractional-order multi-agent systems (FMASs), where the inherent dynamics is modeled to be discontinuous, and subject to nonlinear growth. Firstly, based on convex functions, three formulas on fractional derivative are established respectively. By applying the proposed formulas, a principle of convergence in finite-time for absolutely continuous functions is developed. Secondly, a new nonlinear control protocol, which includes discontinuous factors, is designed. Under fractional differential inclusion framework, by means of Lyapunov functional approach and Clarke's non-smooth analysis technique, the sufficient conditions with respect to the global consensus are achieved. In addition, the setting time is explicitly evaluated for the global leader-following consensus in finite time. Finally, two illustrative examples are provided to check the correction of the obtained results in this paper.