Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
AbstractThis 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 nonlinear systems. View Full-Text
Share & Cite This Article
Khelil, N.; Otis, M.J.-D. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Mathematics 2016, 4, 58.
Khelil N, Otis MJ-D. Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems. Mathematics. 2016; 4(4):58.Chicago/Turabian Style
Khelil, Nawel; Otis, Martin J.-D. 2016. "Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems." Mathematics 4, no. 4: 58.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.