Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games
Download Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games
Author: Werner Krabs
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
J. P. La Salle has developed in [20] a stability theory for systems of difference equations (see also [8]) which we introduce in the first chapter within the framework of metric spaces. The stability theory for such systems can also be found in [13] in a slightly modified form. We start with autonomous systems in the first section of chapter 1. After theoretical preparations we examine the localization of limit sets with the aid of Lyapunov Functions. Applying these Lyapunov Functions we can develop a stability theory for autonomous systems. If we linearize a non-linear system at a fixed point we are able to develop a stability theory for fixed points which makes use of the Frechet derivative at the fixed point. The next subsection deals with general linear systems for which we intro duce a new concept of stability and asymptotic stability that we adopt from [18]. Applications to various fields illustrate these results. We start with the classical predator-prey-model as being developed and investigated by Volterra which is based on a 2 x 2-system of first order differential equations for the densities of the prey and predator population, respectively. This model has also been investigated in [13] with respect to stability of its equilibrium via a Lyapunov function. Here we consider the discrete version of the model.
Pareto Optimality, Game Theory and Equilibria
Author: Panos M. Pardalos
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-07-02
This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.
Advances in Dynamic Games
Author: Alain Haurie
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-04-03
This book, an outgrowth of the 10th International Symposium on Dynamic Games, presents current developments of the theory of dynamic games and its applications. The text uses dynamic game models to approach and solve problems pertaining to pursuit-evasion, marketing, finance, climate and environmental economics, resource exploitation, as well as auditing and tax evasions. It includes chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions.