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Analysis and Geometry in Control Theory and its Applications

  • Piernicola Bettiol
  • Piermarco Cannarsa
  • Giovanni Colombo
  • Monica Motta
  • Franco Rampazzo

Part of the Springer INdAM Series book series (SINDAMS, volume 11)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Anthony Bloch, Leonardo Colombo, Rohit Gupta, David Martín de Diego
    Pages 35-64
  3. Bernard Bonnard, Helen Henninger, Jérémy Rouot
    Pages 65-84
  4. Asen L. Dontchev, Mikhail I. Krastanov, Vladimir M. Veliov
    Pages 159-169

About this book

Introduction

Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.

Keywords

Calculus of Variations Control Theory Geometric Control Non-Linear Analysis Optimal Control

Editors and affiliations

  • Piernicola Bettiol
    • 1
  • Piermarco Cannarsa
    • 2
  • Giovanni Colombo
    • 3
  • Monica Motta
    • 4
  • Franco Rampazzo
    • 5
  1. 1.Department of MathematicsUniversité de Bretagne OccidentaleBrestFrance
  2. 2.Department of MathematicsUniversità di Roma "Tor Vergata"RomaItaly
  3. 3.Department of MathematicsUniversità di PadovaPadovaItaly
  4. 4.Department of MathematicsUniversità di PadovaPadovaItaly
  5. 5.Department of MathematicsUniversità di PadovaPadovaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06917-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-06916-6
  • Online ISBN 978-3-319-06917-3
  • Series Print ISSN 2281-518X
  • Series Online ISSN 2281-5198
  • Buy this book on publisher's site