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Viability Theory New Directions /

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 enviro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Aubin, Jean-Pierre (Autor), Bayen, Alexandre M. (Autor), Saint-Pierre, Patrick (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:2nd ed. 2011.
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Aubin, Jean-Pierre.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Viability Theory  |h [electronic resource] :  |b New Directions /  |c by Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre. 
250 |a 2nd ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XXI, 830 p. 141 illus., 20 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a 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. 
520 |a 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. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Econometrics. 
650 0 |a Computer science-Mathematics. 
650 0 |a Control engineering. 
650 0 |a Game theory. 
650 1 4 |a Systems Theory, Control . 
650 2 4 |a Quantitative Economics. 
650 2 4 |a Mathematical Applications in Computer Science. 
650 2 4 |a Control and Systems Theory. 
650 2 4 |a Game Theory. 
700 1 |a Bayen, Alexandre M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Saint-Pierre, Patrick.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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