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BuchGebunden
803 Seiten
Englisch
Springererschienen am13.07.20112nd Edition.
The mathematical and algorithmic methods used by viability theory are relevant to an array of complex systems. This updated edition explains the applications of viability theory, explaining the central concepts and illustrating them with numerous examples.mehr
Verfügbare Formate
BuchGebunden
EUR299,59
BuchKartoniert, Paperback
EUR299,59
E-BookPDF1 - PDF WatermarkE-Book
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E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextThe mathematical and algorithmic methods used by viability theory are relevant to an array of complex systems. This updated edition explains the applications of viability theory, explaining the central concepts and illustrating them with numerous examples.
Zusammenfassung
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
Details
ISBN/GTIN978-3-642-16683-9
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2011
Erscheinungsdatum13.07.2011
Auflage2nd Edition.
Seiten803 Seiten
SpracheEnglisch
Gewicht1355 g
IllustrationenXXI, 803 p.
Artikel-Nr.10142532

Inhalt/Kritik

Inhaltsverzeichnis
Overview and Organization.- Viability Kernels and Examples: Viability and Capturability.- Viability Problems in Robotics.- Viability and Dynamic Intertemporal Optimality.- Avoiding Skylla and Charybdis.- Inertia Functions, Viability Oscillators and Hysteresis.- Management of Renewable Resources.- Mathematical Properties of Viability Kernels: Connection Basins.- Local and Asymptotic Properties of Equilibria.- Viability and Capturability Properties of Evolutionary Systems.- Regulation of Control Systems.- Restoring Viability.- First-Order Partial Differential Equations: Viability Solutions to Hamilton-Jacobi Equations.- Regulation of Traffic.- Illustrations in Finance and Economics.- Viability Solutions to Conservation Laws.- Viability Solutions to Hamilton-Jacobi-Bellman Equations.- Appendices: Set-Valued Analysis at a Glance.- Convergence and Viability Theorems.mehr
Kritik
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)
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