Viability Theory

New Directions

Authors: AUBIN, Jean-Pierre, Bayen, Alexandre M., Saint-Pierre, Patrick

  • Provides an initiation into the applications of viability theory
  • Includes new results and breakthrough mathematical theory and applications
  • Features many numerical examples taken from various fields
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eBook $199.00
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  • ISBN 978-3-642-16684-6
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Hardcover $259.00
price for USA
  • ISBN 978-3-642-16683-9
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About this book

Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and  illustrating them with numerous numerical examples taken from various fields.

Reviews

From the reviews of the second edition:

“This comprehensive book of more than 800 pages has many purposes. … who want to learn the theory and may be interested in its research potential will also be quite happy with the book. … authors have made their book very lively by providing quotations and pictures of famous scientists and writers … . great reference for many types of readers: mathematicians, application-oriented users, and even science historians interested in the evolution of science and its cultural aspects. It will certainly motivate young scientists … .” (Alain Bensoussan, Mathematical Reviews, January, 2011)

“This is the second edition of the well-known monograph. It is devoted to the viability theory and algorithmic methods for investigation of the adaptation of complex systems with uncertainties. Such systems can be found in biology, economics, environmental sciences, final markets, control theory, robotics etc. … The monograph contains many unpublished results and is addressed to graduate students and scientists.” (Tadeusz Kaczorek, Zentralblatt MATH, Vol. 1238, 2012)


Table of contents (19 chapters)

  • Overview and Organization

    Aubin, Jean-Pierre (et al.)

    Pages 1-40

  • Viability and Capturability

    Aubin, Jean-Pierre (et al.)

    Pages 43-104

  • Viability Problems in Robotics

    Aubin, Jean-Pierre (et al.)

    Pages 105-124

  • Viability and Dynamic Intertemporal Optimality

    Aubin, Jean-Pierre (et al.)

    Pages 125-177

  • Avoiding Skylla and Charybdis

    Aubin, Jean-Pierre (et al.)

    Pages 179-197

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-3-642-16684-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-3-642-16683-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Viability Theory
Book Subtitle
New Directions
Authors
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-16684-6
DOI
10.1007/978-3-642-16684-6
Hardcover ISBN
978-3-642-16683-9
Edition Number
2
Number of Pages
XXI, 803
Additional Information
Originally published at Birkhäuser Boston
Topics