Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
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How to cite: Khelil, N.; Otis, M. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Preprints 2016, 2016080015 (doi: 10.20944/preprints201608.0015.v1). Khelil, N.; Otis, M. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Preprints 2016, 2016080015 (doi: 10.20944/preprints201608.0015.v1).
A peer-reviewed article of this Preprint also exists.
Journal reference: Mathematics 2016, 4, 58
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.