02911nam a22005295i 4500
978-3-642-13722-8
DE-He213
20180115171721.0
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100803s2010 gw | s |||| 0|eng d
9783642137228
978-3-642-13722-8
10.1007/978-3-642-13722-8
doi
QA313
PBWR
bicssc
MAT034000
bisacsh
515.39
23
515.48
23
Pickl, Stefan.
author.
Dynamical Systems
[electronic resource] :
Stability, Controllability and Chaotic Behavior /
by Stefan Pickl, Werner Krabs.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2010.
X, 238 p.
online resource.
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Uncontrolled Systems -- Controlled Systems -- Chaotic Behavior of Autonomous Time-Discrete Systems -- A Dynamical Method for the Calculation of Nash-Equilibria in n–Person Games -- Optimal Control in Chemotherapy of Cancer.
At the end of the nineteenth century Lyapunov and Poincaré 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.
Mathematics.
Operations research.
Decision making.
Dynamics.
Ergodic theory.
Control engineering.
Robotics.
Mechatronics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Operation Research/Decision Theory.
Control, Robotics, Mechatronics.
Krabs, Werner.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783642137211
http://dx.doi.org/10.1007/978-3-642-13722-8
ZDB-2-SMA
372431
372431
0
0
0
0
EBook
elib
elib
2018-01-15
0
2018-01-15
2018-01-15
EBOOK