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Piecewise linear dynamical systems (in infinitely many zones): structural stability and asymptotic stability

Grant number: 16/21975-8
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): March 01, 2017
Effective date (End): February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Ricardo Miranda Martins
Grantee:Mayara Duarte de Araujo Caldas
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM


In this projet we consider piecewise smooth dynamical systems, in particular system that are linear over each square (i,i+j)x (j,j+1) for i, j integers, but not differentiable (or even continuous) over the straight lines x=k or y=l, for k,l integers. Our aim is to provide conditions for structural stability of these systems, and also conditions under which the origin is globally asymptotic stable, based on past works due to Teixeira-Llibre and Sotomayor-Garcia. (AU)

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
CALDAS, Mayara Duarte de Araujo. Linear dynamical systems piecewise (in infinite zones): structural and asymptotic stability. 2019. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.

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