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Dynamical Systems [recurso electrónico] : Stability, Controllability and Chaotic Behavior / by Stefan Pickl, Werner Krabs.

Por: Pickl, Stefan [author.]Colaborador(es): Krabs, Werner [author.] | SpringerLink (Online service)Tipo de material: Texto

TextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: X, 238 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642137228Tema(s): Mathematics | Differentiable dynamical systems | Mathematics | Dynamical Systems and Ergodic Theory | Operations Research/Decision Theory | Control, Robotics, MechatronicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.39 | 515.48 Clasificación LoC:QA313Recursos en línea: Libro electrónico Texto

Contenidos:

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.

En: Springer eBooksResumen: 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.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA313 (Browse shelf(Abre debajo))	1	No para préstamo		374569-2001

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.