On the Existence and Construction of Common Lyapunov Functions for Switched Discrete Systems
- Autores: Kosov A.1, Kozlov M.2
-
Afiliações:
- Matrosov Institute for System Dynamics and Control Theory
- National Research Mordovian State University
- Edição: Volume 12, Nº 4 (2018)
- Páginas: 668-677
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213117
- DOI: https://doi.org/10.1134/S1990478918040075
- ID: 213117
Citar
Resumo
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.
Palavras-chave
Sobre autores
A. Kosov
Matrosov Institute for System Dynamics and Control Theory
Autor responsável pela correspondência
Email: kosov_idstu@mail.ru
Rússia, ul. Lermontova 134, Irkutsk, 664033
M. Kozlov
National Research Mordovian State University
Email: kosov_idstu@mail.ru
Rússia, ul. Bol’shevistskaya 68, Saransk, 430005