\(\mathcal W\)-stability of multistable nonlinear discrete-time systems (Q764582)
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scientific article; zbMATH DE number 6014531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathcal W\)-stability of multistable nonlinear discrete-time systems |
scientific article; zbMATH DE number 6014531 |
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\(\mathcal W\)-stability of multistable nonlinear discrete-time systems (English)
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13 March 2012
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Summary: Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new type stability notion of \(\mathcal W\)-stability introduced by \textit{D. Efimov}, [``On global Lyapunov characterization of multi-stable nonlinear systems'', in: Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China. 6299--6304 (2009)], estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.
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Lyapunov characterization
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multistable discrete-time nonlinear system
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\(\mathcal W\)-stability
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