Lipschitz semistability of general control systems in terms of two measures (Q2748225)
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scientific article; zbMATH DE number 1659047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lipschitz semistability of general control systems in terms of two measures |
scientific article; zbMATH DE number 1659047 |
Statements
1 March 2002
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Lipschitz weak semistability
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Lipschitz local semistability
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Lipschitz semistability of general control systems in terms of two measures (English)
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In [\textit{Jin Gan}, Math. Appl. 12, No.~2, 9-13 (1999); Ann. Differ. Equations 17, No.~1, 21-31 (2001; Zbl 1129.93472)] Lipschitz semistability of dynamical systems in terms of two measures and Lipschitz semistability of general control systems have been studied. In this paper, semistability considerations are extended to a variety of nonlinear systems utilizing the same versatile tools, namely, Lyapunov-like functions. New notions of \((h_0,h)\)-Lipschitz (weak) semistability of general control systems are introduced, and necessary and sufficient conditions are given.
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