Lyapunov Functions in Differential Games (Stability and Control: Theory, Methods and Applications)

Zhukovskiy, Vladislav I

ISBN 10: 0415273412 / ISBN 13: 9780415273411

Verlag: CRC Press, 2003

Beschreibung

Bestandsnummer des Verkäufers c453103

Bibliografische Details

• Titel: Lyapunov Functions in Differential Games (Stability and Control: Theory, Methods and Applications)
• Verlag: CRC Press
• Veröffentlichungsdatum: 2003
• Sprache: Englisch
• ISBN-10: 0415273412
• ISBN-13: 9780415273411
• Bindung: Hardcover
• Ausgabe: 1st Edition
• Zustand: As New
• Verkäuferkataloge:
  • Science

Über diesen Titel

Inhaltsangabe

A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theory. This approach, which combines dynamic programming and the Lyapunov function method, leads to coefficient criteria, or ratios of the game math model parameters with which optimal strategies of the players not only exist but their analytical form can be specified. In this book coefficient criteria are derived for numerous new and relevant problems in the theory of linear-quadratic multi-player differential games. Those criteria apply when the players formulate their strategies independently (non co-operative games) and use non-Nash equilibria or when the game model recognizes noise, perturbation and other uncertainties of which only their ranges are known (differential games under uncertainty). This text is useful for researchers, engineers and students of applied mathematics, control theory and the engineering sciences.

Über die Autorin bzw. den Autor

Vladislav I Zhukovskiy