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

• Published in: Communications in nonlinear science & numerical simulation Vol. 37; p. 100888
• Main Authors: Wang, Xiaohong, Wu, Huaiqin, Cao, Jinde
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.08.2020; Elsevier Science Ltd
• Subjects: Continuity (mathematics); Differential equations; Discontinuous inherent dynamics; Filippov differential inclusion; Fractional multi-agent systems; Global consensus in finite time; Lyapunov functional approach; Mathematical functions; Multiagent systems; Nonlinear control; Nonlinear dynamics; Nonlinear systems; Fractional multi-agent systems; Global consensus in finite time; Lyapunov functional approach; Filippov differential inclusion; Discontinuous inherent dynamics

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 respect...