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Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
Version 1
: Received: 1 August 2016 / Approved: 2 August 2016 / Online: 2 August 2016 (10:40:38 CEST)
A peer-reviewed article of this Preprint also exists.
Khelil, N.; Otis, M.J.-D. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Mathematics 2016, 4, 58. Khelil, N.; Otis, M.J.-D. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Mathematics 2016, 4, 58.
Abstract
This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback which renders the non-Lipschitz systems in the special case dominated by a lower-triangular nonlinear system, finite-time stable. The proof is based on a recursive design algorithm developed recently, to construct the virtual Hölder continuous, finite-time stabilizer as well as a C1 positive definite and proper Lyapunov function that guarantees finite-time stability of the non-Lipschitz non-linear systems.
Keywords
Finite-time control; nonlinear system; non-Lipschitzian dynamics; lyapunov function
Subject
Engineering, Control and Systems Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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