Variation of Lyapunov's method for dynamic systems on time scales (Q1336154)
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scientific article; zbMATH DE number 663692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variation of Lyapunov's method for dynamic systems on time scales |
scientific article; zbMATH DE number 663692 |
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Variation of Lyapunov's method for dynamic systems on time scales (English)
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20 March 1995
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The authors consider a dynamical system on a general time scale. This formulation unifies the standard treatment for continuous time and discrete time systems. Based on a well known comparison principle, the authors obtain a comparison theorem which makes use of Lyapunov functions. The theorem relates the asymptotic behavior of a given system and its perturbations. As an application, the authors obtain a stability result. A numerical example is discussed.
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dynamical system on a general time scale
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comparison theorem
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Lyapunov functions
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perturbations
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stability
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0.92150885
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0.9172833
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0.9163968
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0.9069042
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0.90218323
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