Initial Time Difference Stability of Causal Differential Systems in terms of Lyapunov Functions and Lyapunov Functionals
| Autor: | Coşkun Yakar, Mustafa Bayram Gücen |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Journal of Applied Mathematics, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1110-757X 1687-0042 |
| DOI: | 10.1155/2014/832015 |
| Popis: | We investigate the qualitative behavior of a perturbed causal differential equation that differs in initial position and initial time with respect to the unperturbed causal differential equations. We compare the classical notion of stability of the causal differential systems to the notion of initial time difference stability of causal differential systems and present a comparison result in terms of Lyapunov functions. We have utilized Lyapunov functions and Lyapunov functional in the study of stability theory of causal differential systems when establishing initial time difference stability of the perturbed causal differential system with respect to the unperturbed causal differential system. |
| Databáze: | Directory of Open Access Journals |
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