Authors:
- New groundbreaking results in viability theory
- Interdisciplinary research and applications to biology, cognitive sciences, economics, finance, environmental sciences, control theory, and robotics
- Initiation to the main concepts and illustration by numerical examples from various fields
- Includes supplementary material: sn.pub/extras
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Table of contents (19 chapters)
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Front Matter
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Mathematical Properties of Viability Kernels
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Front Matter
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First-Order Partial Differential Equations
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Front Matter
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About this book
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 … The monograph contains many unpublished results and is addressed to graduate students and scientists.”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)
Authors and Affiliations
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VIMADES, Paris, France
Jean-Pierre Aubin
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Electrical Engineering and, Computer Sciences, University of California at Berkeley, Berkeley, USA
Alexandre M. Bayen
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, LEDA-SDFi, Université Paris Dauphine, Clamart, France
Patrick Saint-Pierre
Bibliographic Information
Book Title: Viability Theory
Book Subtitle: New Directions
Authors: Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre
DOI: https://doi.org/10.1007/978-3-642-16684-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-16683-9Published: 13 July 2011
Softcover ISBN: 978-3-662-49585-8Published: 13 July 2011
eBook ISBN: 978-3-642-16684-6Published: 13 July 2011
Edition Number: 2
Number of Pages: XXI, 803
Additional Information: Originally published at Birkhäuser Boston
Topics: Systems Theory, Control, Economic Theory/Quantitative Economics/Mathematical Methods, Math Applications in Computer Science, Control and Systems Theory, Game Theory, Economics, Social and Behav. Sciences