ARTICLE | doi:10.20944/preprints201608.0015.v1
Subject: Engineering, Control And Systems Engineering Keywords: Finite-time control; nonlinear system; non-Lipschitzian dynamics; lyapunov function
Online: 2 August 2016 (10:40:38 CEST)
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.