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Viability theory : new directions

Author: Jean-Pierre Aubin; Alexandre M Bayen; Patrick Saint-Pierre
Publisher: Heidelberg : Springer, cop. 2011.
Edition/Format:   Print book : Biography : English : 2nd edView all editions and formats

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  Read more...


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Material Type: Biography
Document Type: Book
All Authors / Contributors: Jean-Pierre Aubin; Alexandre M Bayen; Patrick Saint-Pierre
ISBN: 9783642166839 3642166830 9783642166846 3642166849
OCLC Number: 802769761
Description: XXI, [1], 803 s. : il. ; 25 cm
Contents: 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.
Responsibility: Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre.


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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 Read more...

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