reine Buchbestellungen ab 5 Euro senden wir Ihnen Portofrei zuDiesen Artikel senden wir Ihnen ohne weiteren Aufpreis als PAKET

The Dynamics of Control
(Englisch)
Systems & Control: Foundations & Applications
Fritz Colonius & Wolfgang Kliemann

Print on Demand - Dieser Artikel wird für Sie gedruckt!

127,45 €

inkl. MwSt. · Portofrei
Dieses Produkt wird für Sie gedruckt, Lieferzeit ca. 14 Werktage
Menge:

The Dynamics of Control

Seiten
Erscheinungsdatum
Ausstattung
Erscheinungsjahr
Sprache
Abbildungen
Vertrieb
Kategorie
Buchtyp
Warengruppenindex
Warengruppe
Laenge
Breite
Hoehe
Gewicht
Herkunft
Relevanz
Referenznummer
Moluna-Artikelnummer

Produktbeschreibung

This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.|This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.
Preface Introduction Dynamics, Perturbations, and Control Part I. Global Theory Control Sets Control Flows and Limit Behavior Part II. Linearization Theory Linear Flows and Vector Bundles Linearization at a Singular Point Part III. Applications One-Dimensional Control Systems Examples for Global Behavior Examples for the Spectrum Stability Radii and Robust Stability Open and Closed Loop Stabilization Dynamics of Perturbations Part IV. Appendices Geometric Control Theory Dynamical Systems Numerical Computation of Orbits Computation of the Spectrum by Lars Grüne Bibliography Index

The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail.

The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems.

Topics and Features:

* complete coverage of unified theory of control flows

* wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers

* relevant motivation and a listing of important definitions and results at the beginning of each chapter

* a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton–Jacobi–Belman equations

* discussion of numerical methods

This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications.

 


From the reviews:

"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated.... The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." —Applications of Mathematics

"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. ... self contained appendix is very helpful. ... The book contains many examples which are helpful in mastering the material. ... Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)




From the reviews:

"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated.... The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." -Applications of Mathematics

"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. ... self contained appendix is very helpful. ... The book contains many examples which are helpful in mastering the material. ... Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)


Inhaltsverzeichnis



Preface Introduction Dynamics, Perturbations, and Control Part I. Global Theory Control Sets Control Flows and Limit Behavior Part II. Linearization Theory Linear Flows and Vector Bundles Linearization at a Singular Point Part III. Applications One-Dimensional Control Systems Examples for Global Behavior Examples for the Spectrum Stability Radii and Robust Stability Open and Closed Loop Stabilization Dynamics of Perturbations Part IV. Appendices Geometric Control Theory Dynamical Systems Numerical Computation of Orbits Computation of the Spectrum by Lars Grüne Bibliography Index


Klappentext

This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.




This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.



Datenschutz-Einstellungen