LYAPUNOV STABILITY OF CLOSED SETS IN IMPULSIVE SEMIDYNAMICAL SYSTEMS

Autor(es)

Bonotto, Everaldo M. ; Grulha, Nivaldo G., Jr.

• Tipo de documento: Artigo Científico
• Fonte: Electronic Journal of Differential Equations; v. N/A, p. 18-pg., 2010-06-08.

Resumo

In this article, we consider impulsive semidynamical systems, defined in a metric space, with impulse effects at variable times. Converse-type theorems are included in our results giving necessary and sufficient conditions for various types of stability of closed subsets of the metric space. These results are achieved by means of Lyapunov functionals which indicate how the solutions behave when entering a "stable" set. (AU)

• Processo FAPESP: 08/03680-4 - Sistemas semidinâmicos não-autônomos dissipativos com impulsos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 03/13929-6 - Classes características de variedades singulares
• Beneficiário: Nivaldo de Góes Grulha Júnior
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto