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

Grant number: 13/26004-2
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2014
Effective date (End): September 30, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Hildebrando Munhoz Rodrigues
Grantee:Arthur Geromel Fischer
Home 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)

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