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Viability Theory: New Directions
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Viability Theory ([Ebook]) : New Directions / by Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre.
Author
Aubin, Jean-Pierre
Added Personal Name
Bayen, Alexandre M.
Saint-Pierre, Patrick
Other name(s)
SpringerLink (Online service)
Edition statement
Second edition
Publication
Berlin, Heidelberg : Springer, , 2011.
Physical Details
XXI, 830p. 141 illus., 20 illus. in color. : online resource.
ISBN
9783642166846
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-16684-6
Links to Related Works
Subject References:
Computer Science
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Control
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Economic theory
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Economics, Mathematical
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Game Theory, Economics, Social and Behav. Sciences
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Game Theory/Mathematical Methods
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Math Applications in Computer Science
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Systems theory
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Systems Theory, Control
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Authors:
Aubin, Jean-Pierre
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author
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Bayen, Alexandre M.
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Saint-Pierre, Patrick
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Corporate Authors:
SpringerLink (Online service)
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Classification:
519
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519 (DDC 23)
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