Viability Theory: New Directions

by Patrick Saint-Pierre, Alexandre M Bayen, Jean-Pierre Aubin, et al.

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.

• Format: Paperback
• Language: English
• ISBN: 3662495856
• ISBN13: 9783662495858
• Release Date: July 2011
• Publisher: Springer
• Length: 803 Pages
• Weight: 2.51 lbs.
• Dimensions: 1.6" x 6.1" x 9.2"