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Viability Theory New Directions

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 07/2011
Edizione: 2nd ed. 2011





Trama

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.




Sommario

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.











Altre Informazioni

ISBN:

9783662495858

Condizione: Nuovo
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:XXI, 803 p.
Pagine Arabe: 803
Pagine Romane: xxi


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