期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 37, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2020.100888
关键词
Fractional multi-agent systems; Global consensus in finite time; Discontinuous inherent dynamics; Lyapunov functional approach; Filippov differential inclusion
资金
- Natural Science Foundation of Hebei Province of China [A2018203288]
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 func- tional 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. (c) 2020 Elsevier Ltd. All rights reserved.
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