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Leader-following consensus for a class of high-order nonlinear multi-agent systems. (English) Zbl 1372.93017

Summary: The finite-time leader-following consensus problem is addressed for a class of high-order multi-agent systems with uncertain nonlinear dynamics. Each follower node is modeled by a lower-triangular system. By using recursive method, we develop the finite-time consensus control design scheme. Based on finite-time Lyapunov stability theorem and matrix theory, we prove that the finite-time consensus of high-order uncertain nonlinear multi-agent systems is guaranteed by non-Lipschitz continuous control laws. Simulation results are given to illustrate the effectiveness of the theoretical results.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
Full Text: DOI

References:

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