Dynamical Systems: Stability, Controllability and Chaotic Behavior - Hardcover

Krabs, Werner

 
9783642137211: Dynamical Systems: Stability, Controllability and Chaotic Behavior
Hardcover
ISBN 10: 3642137210 ISBN 13: 9783642137211
Verlag: Springer, 2010

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Stefan Pickl ist seit 1980 Professor für Operations Research an der Universität der Bundeswehr München. Werner Krabs war Professor am Fachbereich Mathematik an der TU Darmstadt. Er wurde 1999 emeritiert.

Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642137210
ISBN 13 
9783642137211
Einband
Tapa dura
Anzahl der Seiten
250
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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