Lyapunov Functions in Differential Games (Hardcover)

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 "aresenal" has been supplied by stability theory. This approach, which combines dynamic programming and the Lyapunov function method, leads to coefficient critera, 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 in cases when:
* the player formulate their strategies independently (non co-operative games) and use non-Nash equilibria
* the game model recognises noise, perturbation and other uncertainties of which only their ranges are known (differential games under uncertainty)

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Stability and Control: Theory, Methods and Applications
Release date:	2003
First published:	2003
Authors:	Vladislav I. Zhukovskiy
Dimensions:	254 x 178 x 22mm (L x W x T)
Format:	Hardcover
Pages:	304
ISBN-13:	978-0-415-27341-1
Categories:	Books > Science & Mathematics > Mathematics > Optimization > Game theory
LSN:	0-415-27341-2
Barcode:	9780415273411

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