Abstract
Finite-time containment consensus control problem is considered for multi-agent systems. A innovative finite-time containment control algorithm is designed to make followers converge to the leader’s convex hull faster. In addition, based on piecewise function control method, a finite-time containment consensus control algorithm is proposed. Then by utilizing Lyapunov stability and homogeneous finite-time stability theorem, the control algorithm is proved to be able to make followers achieve finite-time consensus in leaders convex hull. Finally, lots of numerical simulation examples are given to demonstrate the rationality of the control algorithm.
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