Dynamical Systems
Stability, Controllability and Chaotic Behavior
Pickl, Stefan.
creator
author.
Krabs, Werner.
author.
SpringerLink (Online service)
text
gw
2010
monographic
eng
access
X, 238 p. online resource.
At the end of the nineteenth century Lyapunov and PoincarĂ© 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.
Uncontrolled Systems -- Controlled Systems -- Chaotic Behavior of Autonomous Time-Discrete Systems -- A Dynamical Method for the Calculation of Nash-Equilibria in nâ€“Person Games -- Optimal Control in Chemotherapy of Cancer.
by Stefan Pickl, Werner Krabs.
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
QA313
515.39
515.48
Springer eBooks
9783642137228
http://dx.doi.org/10.1007/978-3-642-13722-8
http://dx.doi.org/10.1007/978-3-642-13722-8
100803
20180115171721.0
978-3-642-13722-8