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Dynamical Systems: Stability, Controllability and Chaotic Behavior 2010 Edition
Contributor(s): Krabs, Werner (Author)

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 ISBN: 3642435173     ISBN-13: 9783642435171
Publisher: Springer
OUR PRICE: $104.49  

Binding Type: Paperback - See All Available Formats & Editions
Published: December 2014
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Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - General
- Technology & Engineering | Robotics
- Mathematics | Mathematical Analysis
Dewey: 531.11
Physical Information: 0.53" H x 6.14" W x 9.21" L (0.78 lbs) 238 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
At the end of the nineteenth century Lyapunov and Poincar developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
 
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