On Singularly Perturbed Filippov Systems

• Grant number: 10/18624-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2011
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marco Antônio Teixeira
• Grantee: Pedro Toniol Cardin
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

The main goal of this work is to study the following question: how Filippov systems are affected by singular perturbations? We intend to extend the ideas of the Fenichel Theory for singularly perturbed Filippov systems. Finally, the study of non-smooth constrained systems will be considered

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CARDIN, PEDRO T.; DA SILVA, PAULO R.; TEIXEIRA, MARCO A.. On singularly perturbed Filippov systems. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, v. 24, n. 6, p. 835-856, DEC 2013. (10/18624-2)

CARDIN, PEDRO T.; DA SILVA, PAULO R.; TEIXEIRA, MARCO A.. On singularly perturbed Filippov systems. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, v. 24, p. 22-pg., 2013-12-01. (10/18624-2)