On asymptotic stability in impulsive semidynamical systems

Autor(es)

Bonotto, E. M. ^[1] ; Azevedo, K. A. G. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; v. 19, n. 3, p. 359-380, JUL 2013.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 10/08994-7 - Sistemas semidinâmicos não-autônomos com impulsos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Auxílio à Pesquisa - Regular