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Analysis, Controllability And Optimization Of Time-Discrete Systems And Dyn...

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Analysis, Controllability And Optimization Of Time-Discrete Systems And Dynamical GamesISBN13:9783540403272ISBN10:3540403272Author:Krabs, Werner (Author)Description: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 Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2003-08-26Weight:0.72 lbsDimensions:0.48'' H x 9.26'' L x 6.31'' WNumber of Pages:186Language:English

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Book Title: Analysis, Controllability And Optimization Of Time-Discrete ...

Item Length: 9.3in

Item Height: 0.2in

Item Width: 6.1in

Author: Werner Krabs, Stefan Wolfgang Pickl

Publication Name: Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games

Format: Perfect

Language: English

Publisher: Springer Berlin / Heidelberg

Publication Year: 2003

Series: Lecture Notes in Economics and Mathematical Systems Ser.

Type: Textbook

Item Weight: 23.3 Oz

Number of Pages: Xii, 192 Pages

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