On the Existence and Construction of Common Lyapunov Functions for Switched Discrete Systems
| Autor: | A. A. Kosov, M. V. Kozlov |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Applied Mathematics Stability (learning theory) 02 engineering and technology Fourth degree 01 natural sciences Industrial and Manufacturing Engineering 010309 optics symbols.namesake 020901 industrial engineering & automation Quadratic equation Homogeneous 0103 physical sciences Common lyapunov function symbols Applied mathematics Special case Mathematics |
| Zdroj: | Journal of Applied and Industrial Mathematics. 12:668-677 |
| ISSN: | 1990-4797 1990-4789 |
| DOI: | 10.1134/s1990478918040075 |
| Popis: | Under consideration is the problem of stability of switched discrete systems with the generalized homogeneous right-hand sides. The conditions are obtained for the existence of the common Lyapunov function, and a method for its construction is proposed in the form of a combination of the partial Lyapunov functions obtained for isolated subsystems. For a special case of linear three-dimensional systems, some algorithms are proposed for constructing common Lyapunov functions as quadratic and fourth degree forms. Some examples illustrate the effectiveness of the proposed approach. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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