期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 323, 期 2, 页码 1430-1443出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.11.046
关键词
finite time stability; Lyapunov functions; finite time stabilization; control Lyapunov function
Finite time stability is investigated for continuous system (x) over circle = f (x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition for finite time stability is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems (x) over circle = f (x) + g(x)u involving a class CL0-settling-time function for the closed-loop system. Finally an explicit feedback control is addressed by using a control Lyapunov function verifying a certain inequality. (c) 2005 Elsevier Inc. All rights reserved.
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