Recursive properties and attractors theory in impulsive semidynamical systems
On periodic solutions of differential equations with delay and impulses
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Fac Filosofia Cienciais & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; v. 19, n. 3, p. 359-380, JUL 2013. |
| Web of Science Citations: | 2 |
| Abstract | |
In the present paper, we study results about asymptotic stability for semidynamical systems with impulses at variable times. By considering an impulsive semidynamical system (X, pi;M, I), we state conditions for a closed subset A of X to be asymptotically stable in the impulsive system. In order to obtain the results we make use of Lyapunov functionals. In conclusion, we show that the continuous time three species prey-predator population controlled by a nonlinear feedback control input is still globally asymptotically stable if we consider such system with impulses perturbation. (AU) | |
| FAPESP's process: | 10/08994-7 - Non-autonomous semidynamical systems with impulses |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |