Dynamical Systems: Stability, Controllability and Chaotic Behavior - Softcover

Krabs, Werner

9783642435171: Dynamical Systems: Stability, Controllability and Chaotic Behavior

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ISBN 10: 3642435173 ISBN 13: 9783642435171

Verlag: Springer, 2014

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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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�ber die Autorin bzw. den Autor

Stefan Pickl ist seit 1980 Professor f�r Operations Research an der Universit�t der Bundeswehr M�nchen. Werner Krabs war Professor am Fachbereich Mathematik an der TU Darmstadt. Er wurde 1999 emeritiert.

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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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Verlag: Springer
Erscheinungsdatum: 2014
Sprache: Englisch
ISBN 10: 3642435173
ISBN 13: 9783642435171
Einband: Tapa blanda
Anzahl der Seiten: 248
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Interesting and actual topicUnique characterizationRelevant related real-world examples (Environmental Management/ Medicine)Stefan Pickl ist seit 1980 Professor fuer Operations Research an der Universitaet der Bundeswehr Muenchen. Werner Krabs war Professo. Bestandsnummer des Verk�ufers 11800966

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Dynamical Systems : Stability, Controllability and Chaotic Behavior

Werner Krabs

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verk�ufers 9783642435171

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 248 pp. Englisch. Bestandsnummer des Verk�ufers 9783642435171

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 248 pp. Englisch. Bestandsnummer des Verk�ufers 9783642435171

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