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Titlebook: Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games; Werner Krabs,Stefan Wolfgang Pickl,M. Beckmann,H.

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期刊全稱Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games
影響因子2023Werner Krabs,Stefan Wolfgang Pickl,M. Beckmann,H.
視頻videohttp://file.papertrans.cn/157/156491/156491.mp4
學(xué)科分類Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games;  Werner Krabs,Stefan Wolfgang Pickl,M. Beckmann,H.
影響因子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 inve
Pindex Book 2003
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書目名稱Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games影響因子(影響力)




書目名稱Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games影響因子(影響力)學(xué)科排名




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Book 2003hin 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 Funct
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0075-8442 hapter 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 Lyap
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978-3-540-40327-2Springer-Verlag Berlin Heidelberg 2003
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Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games978-3-642-18973-9Series ISSN 0075-8442 Series E-ISSN 2196-9957
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