ON THE LYAPUNOV STABILITY THEORY FOR IMPULSIVE DYNAMICAL SYSTEMS

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Author(s):	Bonotto, Everaldo Mello ^[1] ; Souto, Ginnara M. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Espirito Santo, Vitoria, ES - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 53, n. 1, p. 127-150, MAR 2019.
Web of Science Citations:	0
Abstract
In this work, we establish necessary and sufficient conditions for the uniform and orbital stability of a special class of sets on impulsive dynamical systems. The results are achieved by means of Lyapunov functions. (AU)

FAPESP's process:	12/20933-9 - Qualitative properties of impulsive semidynmical systems
Grantee:	Ginnara Mexia Souto
Support Opportunities:	Scholarships in Brazil - Doctorate


FAPESP's process:	16/24711-1 - Pullback attractors for cocycles
Grantee:	Everaldo de Mello Bonotto
Support Opportunities:	Regular Research Grants


FAPESP's process:	14/21224-7 - Lyapunov functions in discontinuous systems
Grantee:	Everaldo de Mello Bonotto
Support Opportunities:	Regular Research Grants