Lyapunov Functions in Differential Games

Lyapunov Functions in Differential Games
Author :
Publisher : CRC Press
Total Pages : 308
Release :
ISBN-10 : 0415273412
ISBN-13 : 9780415273411
Rating : 4/5 (12 Downloads)

Book Synopsis Lyapunov Functions in Differential Games by : Vladislav I Zhukovskiy

Download or read book Lyapunov Functions in Differential Games written by Vladislav I Zhukovskiy and published by CRC Press. This book was released on 2003-01-16 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Lyapunov Functions in Differential Games Related Books

Lyapunov Functions in Differential Games
Language: en
Pages: 308
Authors: Vladislav I Zhukovskiy
Categories: Mathematics
Type: BOOK - Published: 2003-01-16 - Publisher: CRC Press

DOWNLOAD EBOOK

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 assoc
Lyapunov Functions in Differential Games
Language: en
Pages: 299
Authors: Vladislav I Zhukovskiy
Categories: Mathematics
Type: BOOK - Published: 2003-01-16 - Publisher: CRC Press

DOWNLOAD EBOOK

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 assoc
Dynamics, Bifurcations and Control
Language: en
Pages: 300
Authors: Fritz Colonius
Categories: Technology & Engineering
Type: BOOK - Published: 2003-07-01 - Publisher: Springer

DOWNLOAD EBOOK

This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding w
Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems
Language: en
Pages: 196
Authors: Cheng-ke Zhang
Categories: Technology & Engineering
Type: BOOK - Published: 2016-09-02 - Publisher: Springer

DOWNLOAD EBOOK

This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the fi
LQ Dynamic Optimization and Differential Games
Language: en
Pages: 514
Authors: Jacob Engwerda
Categories: Business & Economics
Type: BOOK - Published: 2005-06-17 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

Game theory is the theory of social situations, and the majority of research into the topic focuses on how groups of people interact by developing formulas and