Viability Theory

• Κύριος συγγραφέας: Aubin, Jean-Pierre (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
• Σειρά: Systems & Control: Foundations & Applications,
• Θέματα: Mathematics.; Artificial intelligence.; Game theory.; System theory.; Biomathematics.; Control engineering.; Robotics.; Mechatronics.; Systems Theory, Control.; Control, Robotics, Mechatronics.; Game Theory, Economics, Social and Behav. Sciences.; Mathematical and Computational Biology.; Artificial Intelligence (incl. Robotics).

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...

Πίνακας περιεχομένων:

• 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.