Viability Theory

This work examines viability theory and its applications to control theory and differential games. The emphasis is on the construction of feedbacks and dynamical systems by myopic optimization methods. Systems of first-order partial differential inclusions, whose solutions are feedbacks, are constru...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Aubin, Jean-Pierre (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edition:1st ed. 2009.
Series:Modern Birkhäuser Classics,
Subjects:
System theory.
Control theory.
Control engineering.
Robotics.
Automation.
Game theory.
Biomathematics.
Artificial intelligence.
Systems Theory, Control .
Control, Robotics, Automation.
Game Theory.
Mathematical and Computational Biology.
Artificial Intelligence.
Online Access:Texto Completo
Table of Contents:
  • Outline of the Book
  • Viability Theorems for Ordinary and Stochastic Differential Equations
  • Set-Valued Maps
  • Viability Theorems for Differential Inclusions
  • Viability Kernels and Exit Tubes
  • Invariance Theorems for Differential Inclusions
  • Regulation of Control Systems
  • Smooth and Heavy Viable Solutions
  • Partial Differential Inclusions of Tracking Problems
  • Lyapunov Functions
  • Miscellaneous Viability Issues
  • Viability Tubes
  • Functional Viability
  • Viability Theorems for Partial Differential Inclusions
  • Differential Games.

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