Dynamic systems in infinite dimension: stability, asymptotic behavior and applications to mathematical control theory

• Grant number: 13/26004-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2014
• End date: September 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Hildebrando Munhoz Rodrigues
• Grantee: Arthur Geromel Fischer
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The project is divided in two parts. The first one defines the courses that will be taken: Complex Analysis, Functional Analysis, Measure and Integration and Ordinary Differential Equations. The second part consists of the project itself. The subject is Control Theory in Infinite-Dimensional Systems. The book that will be used is An Introduction to Infinite-Dimensional Linear Systems Theory by Ruth F. Curtain and Hanz Zwart. This book extends well-known results in finite dimension to infinite-dimension. Important concepts that will be well-studied are: stability, detectability, controllability and observability. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FISCHER, Arthur Geromel. Robustness of the dynamics under perturbations: from the upper semicontinuity to the structural stability. 2015. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.