2011

Viability Theory

New Directions

ISBN: 978-3-642-16683-9 (Print) 978-3-642-16684-6 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxi

  2. No Access

    Book Chapter

    Pages 1-40

    Overview and Organization

  3. Viability Kernels and Examples

    1. Front Matter

      Pages 41-41

    2. No Access

      Book Chapter

      Pages 43-104

      Viability and Capturability

    3. No Access

      Book Chapter

      Pages 105-124

      Viability Problems in Robotics

    4. No Access

      Book Chapter

      Pages 125-177

      Viability and Dynamic Intertemporal Optimality

    5. No Access

      Book Chapter

      Pages 179-197

      Avoiding Skylla and Charybdis

    6. No Access

      Book Chapter

      Pages 199-245

      Inertia Functions, Viability Oscillators and Hysteresis

    7. No Access

      Book Chapter

      Pages 247-270

      Management of Renewable Resources

  4. Mathematical Properties of Viability Kernels

    1. Front Matter

      Pages 271-271

    2. No Access

      Book Chapter

      Pages 273-318

      Connection Basins

    3. No Access

      Book Chapter

      Pages 319-373

      Local and Asymptotic Properties of Equilibria

    4. No Access

      Book Chapter

      Pages 375-435

      Viability and Capturability Properties of Evolutionary Systems

    5. No Access

      Book Chapter

      Pages 437-484

      Regulation of Control Systems

    6. No Access

      Book Chapter

      Pages 485-520

      Restoring Viability

  5. First-Order Partial Differential Equations

    1. Front Matter

      Pages 521-521

    2. No Access

      Book Chapter

      Pages 523-561

      Viability Solutions to Hamilton–Jacobi Equations

    3. No Access

      Book Chapter

      Pages 563-602

      Regulation of Traffic

    4. No Access

      Book Chapter

      Pages 603-630

      Illustrations in Finance and Economics

    5. No Access

      Book Chapter

      Pages 631-680

      Viability Solutions to Conservation Laws

    6. No Access

      Book Chapter

      Pages 681-709

      Viability Solutions to Hamilton–Jacobi–Bellman Equations

  6. Appendices

    1. Front Matter

      Pages 711-711

    2. No Access

      Book Chapter

      Pages 713-767

      Set-Valued Analysis at a Glance

    3. No Access

      Book Chapter

      Pages 769-787

      Convergence and Viability Theorems

  7. Back Matter

    Pages 789-803