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Viability Theory : New Directions / by Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre

2nd ed. 2011.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2011
本文言語 英語
大きさ XXI, 830 p. 141 illus., 20 illus. in color : online resource
著者標目 *Aubin, Jean-Pierre author
Bayen, Alexandre M author
Saint-Pierre, Patrick author
SpringerLink (Online service)
件 名 LCSH:System theory
LCSH:Control theory
LCSH:Econometrics
LCSH:Computer science -- Mathematics  全ての件名で検索
LCSH:Control engineering
LCSH:Game theory
FREE:Systems Theory, Control
FREE:Quantitative Economics
FREE:Mathematical Applications in Computer Science
FREE:Control and Systems Theory
FREE:Game Theory
一般注記 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
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
HTTP:URL=https://doi.org/10.1007/978-3-642-16684-6
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Springer eBooks 9783642166846
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データ種別 電子ブック
分 類 LCC:Q295
LCC:QA402.3-402.37
DC23:3
書誌ID 4000116845
ISBN 9783642166846

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