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Viability Theory: New Directions
Paperback
General ComputersGeneral MathematicsGeneral Science
ISBN13: 9783662495858
Publisher: Springer Nature
Published: Jul 13 2011
Pages: 803
Weight: 2.51
Height: 1.64 Width: 6.14 Depth: 9.21
Language: English
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.
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