Publicação
A hukuhara approach to the study of hybrid fuzzy systems on time scales
| Resumo: | We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for fuzzy valued functions and allow us to obtain new interesting stability criteria. We also show the validity of the results of M. Sambandham: Hybrid fuzzy systems on time scales, Dynam. Systems Appl., 12 (1-2) (2003), 217-227, by embedding the space of all fuzzy subsets into a suitable Banach space. |
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| Autores principais: | Fard, Omid S. |
| Outros Autores: | Torres, Delfim F.M.; Zadeh, Mohadeseh R. |
| Assunto: | Fuzzy dynamical systems Fuzzy hybrid systems Practical stability Time scales |
| Ano: | 2016 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for fuzzy valued functions and allow us to obtain new interesting stability criteria. We also show the validity of the results of M. Sambandham: Hybrid fuzzy systems on time scales, Dynam. Systems Appl., 12 (1-2) (2003), 217-227, by embedding the space of all fuzzy subsets into a suitable Banach space. |
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