Last edited by Shaktigis
Wednesday, July 29, 2020 | History

10 edition of Control Theory from the Geometric Viewpoint found in the catalog.

Control Theory from the Geometric Viewpoint

by Andrei A. Agrachev

  • 79 Want to read
  • 16 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Calculus of variations,
  • Mathematics,
  • Science/Mathematics,
  • Applied,
  • Lie bracket,
  • Mathematics / Applied,
  • control theory,
  • geometric differential methods,
  • optimal control,
  • symplectic geometry,
  • General

  • The Physical Object
    FormatHardcover
    Number of Pages412
    ID Numbers
    Open LibraryOL9054545M
    ISBN 103540210199
    ISBN 109783540210191

    viewpoint, with special emphasis on the geometric version of the Pontryagin maximum principle — a cornerstone in constructive control techniques, culminating in a treatment of the emerging area of subriemannian geometry inspired by optimal control. The chief sources are the book, “Control Theory from the Geometric Viewpoint” by A. Control theory deals with the control of continuously operating dynamical systems in engineered processes and machines. The objective is to develop a control model for controlling such systems using a control action in an optimum manner without delay or overshoot and ensuring control l theory may be considered a branch of control engineering, computer engineering, mathematics.

    About simple variational splines from the Hamiltonian viewpoint. Journal of Geometric Mechanics, Vol. 9, Issue. 3, p. CrossRef; Google Scholar; The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied. Description: This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite .

    Differential geometry, mechanics, and control theory 3 of di erential geometry, geometric mechanics, and geometric control theory. This should not be taken as re ecting any sort of bias by the author, but rather an acknowledgement by the author of the limits of . The Geometric Viewpoint: A Survey in Geometries. by Thomas Q. Sibley, Click on the following links to download pdf files of sections of the text.


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Control Theory from the Geometric Viewpoint by Andrei A. Agrachev Download PDF EPUB FB2

This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years at the International School for Advanced Studies, Trieste, by: About this book.

This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis.

Control Theory from the Geometric Viewpoint. This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view 3/5(1).

Control Theory from the Geometric Viewpoint ().pdf writen by Andrei A. Agrachev, Yuri Sachkov: This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view.

The book is mainly based on. Summary: Devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations, this book treats Mathematical Control Theory from a geometric viewpoint. Covers controllability, state and feedback equivalence and optimal control.

ISBN: OCLC Number: Notes: Bibliogr. Description: 1 vol. (XIV p.): ill. ; 24 cm. Contents: 1. Vector fields and control systems on smooth manifolds Elements of chronological calculus Linear systems State linearizability of nonlinear systems The orbit theorem and its applications Rotations of the rigid.

Control Theory from the Geometric Viewpoint. Book January Using ideas from differential geometry and geometric control theory, we describe how neural ODEs can be extended to smooth.

“Control Theory from the Geometric Viewpoint” is a recent addition to the geometric control theory monograph/textbook literature having Jurdjevic () as its closest neighbor and Nijmeijer and van der Schaft (), Isidori () and Bloch () as more distant ones.

The book. book evolved from lecture control theory from the geometric viewpoint is a recent addition to the geometric control theory monograph textbook literature having jurdjevic as its closest neighbor and nijmeijer and van der schaft isidori and bloch as.

This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied.5/5(1).

Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events.

Geometric Control Theory | Velimir Jurdjevic | download | B–OK. Download books for free. Find books. This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint.

It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied. Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled.

This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any.

“Control Theory from the Geometric Viewpoint” is a recent addition to the geometric control theory monograph/textbook literature having Jurdjevic () as its closest neighbor and Nijmeijer and van der Schaft (), Isidori () and Bloch () as more distant ones.

The book evolved from lecture. Agrachev et al.'s book is one of the few treatises dealing with rolling problems, a classic problem in nonholonomic control.

Optimal control is also gracefully illustrated too. See for example a worked exercise on the fastest stop of a passenger train, or optimal control of a rigid body/5. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years at the International School for Advanced Studies, Trieste, Italy.

Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real. View PDF “Control Theory from the Geometric Viewpoint” is a recent addition to the geometric control theory monograph/textbook literature having Jurdjevic () as its closest neighbor and.

Nijmeijer and van der Schaft (), Isidori () and Bloch. () as more distant ones. The book evolved from lecture notes for graduate. trol Theory treated from the geometric p oin t of view. The b o ok is mainly based on graduate courses giv en b y the rst coauthor in the y ears { at the In ternational Sc ho ol for Adv anced Studies, T rieste, Italy.

Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and F. Geometric control.

Dynamical systems control systems Reachable sets and controllability Affine control systems Distributions and integrability Main results Optimal control Nonlinear Geometric Control Controltheory is a theory that deals with influencing the behavior (controlling) of dynamical systems.

Many processes in industries like.Addeddate Identifier GeometricControlTheory Identifier-ark ark://t73v4wx52 Ocr ABBYY FineReader Ppi Scanner Internet Archive HTML5 Uploader Linear geometric control theory was initiated in the beginning of the 's.

A good summary of the subject is the book by Wonham. The term ``geometric'' suggests several things. First it suggests that the setting is linear state space and the mathematics behind is primarily linear algebra (with a geometric .