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

• Grant number: 16/21975-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2017
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: 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

Abstract

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)

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.