عنوان

Contemporary trends in nonlinear geometric control theory and its applications /

(Number (ISBN

9789810248413

(Number (ISBN

9789812778079

(Number (ISBN

9810248415

(Number (ISBN

9812778071

Erroneous ISBN

9810248415

Number

b722383

Title Proper

Contemporary trends in nonlinear geometric control theory and its applications /

General Material Designation

[Book]

First Statement of Responsibility

A. Anzaldo-Meneses [and others].

Place of Publication, Distribution, etc.

River Edge, NJ :

Name of Publisher, Distributor, etc.

World Scientific,

Date of Publication, Distribution, etc.

©2002.

Specific Material Designation and Extent of Item

1 online resource (xvii, 476 pages) :

Other Physical Details

illustrations

Text of Note

Includes bibliographical references and index.

Text of Note

Foreword; Part I Invited Survey Chapters; Variational Problems on Lie Groups and their Homogeneous Spaces: Elastic Curves Tops and Constrained Geodesic Problems; 1. Introduction; 2. Space forms and their frame bundles; 3. Hamiltonians and the extremal curves; Controllability of Lie Systems; 1. Introduction; 2. Control systems on Lie groups; 3. Groups irrelevant for transitivity; 4. Exploiting compactness and irrelevancy; 5. Irrelevant groups and algebras; 6. Irrelevant groups and algebras: the solvable case; 7. Irrelevant groups and algebras: the semisimple case.

Text of Note

2. Preliminaries on equivalence of control systems3. Main result on topological linearization; 4. An open question; 5. Implications in control theory; Local Approximation of the Reachable Set of Control Processes; 1. Introduction; 2. Tangent cones; 3. Examples of g-variations; 4. Applications; 5. Open problems; Geometric Optimal Control of the Atmospheric Arc for a Space Shuttle; 1. Introduction; 2. The model; 3. The control problem; 4. The minimal principle without state constraints-extremal curves; 5. Optimal control with state constraints.

Text of Note

5. The optimal control approach6. The differential-geometric connection; 7. Five modern variations on the theme of the brachistochrone; Part II Contributed Chapters; Symplectic Methods for Strong Local Optimality in the Bang-bang Case; 1. Introduction; 2. Main results; 3. Sketch of the proof; Charges in Magnetic Fields and Sub-Riemannian Geodesics; 1. Introduction; 2. Sub-Riemannian geometry and classical particles; 3. Polynomial magnetic fields; 4. Linear magnetic fields and Cartan's five dimensional case; Topological Versus Smooth Linearization of Control Systems; 1. Introduction.

Text of Note

Canonical Contact Systems for Curves: A Survey1. Introduction; 2. The canonical contact system for curves; 3. History; 4. Involutive subdistributions of corank one; 5. Contact systems characteristic distributions and involutive subdistributions; 6. Flatness of contact systems; 7. An example; 8. Singular points and extended Kumpera-Ruiz normal forms; The Brachistochrone Problem and Modern Control Theory; 1. Introduction; 2. Johann Bernoulli and the brachistochrone problem; 3. The standard formulation and Johann Bernoulli's solution; 4. Spurious solutions and the calculus of variations approach.

Text of Note

High-Gain and Non-High-Gain Observers for Nonlinear Systems1. Introduction systems under consideration; 2. Justification of the assumptions and observability; 3. Statement and proof of the theoretical result; 4. Application: observation of a binary distillation column; 5. Appendix: Technical lemmas; Lie Systems in Control Theory; 1. Introduction; 2. Systems of differential equations admitting a superposition rule; 3. Control and controllability of systems on Lie groups; 4. The Wei-Norman method; 5. Illustrative examples; From the Geometry to the Algebra of Nonlinear Observability.

0

8

8

8

8

Text of Note

Annotation Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences. This volume concerns contemporary trends in nonlinear geometric control theory and its applications. It is a fine collection of papers presenting new results, relevant open problems, and important applications regarding academic and real-world problems. The book is dedicated to Velimir Jurdjevic whose scientific activities have been influential in the research of many of the authors. It contains a number of articles specially written by colleagues and friends of Jurdjevic, all of them leading applied mathematicians and control theorists. There is also a place for surveys of topics of current research which the state of the art of modern geometric control theory. Finally, the volume contains several new mathematical ideas generated by geometric control theory techniques, which may initiate new directions of research beyond control theory.

Title

Contemporary trends in nonlinear geometric control theory and its applications.

International Standard Book Number

9789810248413

Parallel Title

Nonlinear geometric control theory

Exterior differential systems.

Geometry, Differential.

Nonlinear control theory.

Exterior differential systems.

Geometry, Differential.

Nonlinear control theory.

TECHNOLOGY & ENGINEERING-- Automation.

TECHNOLOGY & ENGINEERING-- Robotics.

TEC-- 004000

TEC-- 037000

Number

Edition

Class number

Book number

Anzaldo-Meneses, A.

Date of Transaction

20201208140835.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y