Lyapunov Functions in Differential Games

Released on by Vladislav I Zhukovskiy
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  • Lyapunov Functions in Differential Games Book Detail

  • Author : Vladislav I Zhukovskiy
  • Release Date : 2003-01-16
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 308
  • ISBN 13 : 9780415273411
  • File Size : 42,42 MB
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Lyapunov Functions in Differential Games by Vladislav I Zhukovskiy PDF Summary

Book Description: 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.

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Lyapunov Functions in Differential Games

Lyapunov Functions in Differential Games

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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

Differential Games and Applications

Differential Games and Applications

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This volume contains fifteen articles on the topic of differential and dynamic games, focusing on both theory and applications. It covers a variety of areas and