1.

Record Nr.

UNINA9910782396403321

Autore

Leonov G. A (Gennadiĭ Alekseevich)

Titolo

Mathematical problems of control theory [[electronic resource] ] : an introduction / / Gennady A. Leonov

Pubbl/distr/stampa

Singapore ; ; River Edge, NJ, : World Scientific, c2001

ISBN

1-281-95140-4

9786611951405

981-279-985-0

Descrizione fisica

1 online resource (182 p.)

Collana

Series on stability, vibration and control of systems, Series A ; ; 4

Disciplina

629.80151

629.8312

Soggetti

Control theory - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 167-169) and index.

Nota di contenuto

Contents; Preface; Chapter 1 The Watt governor and the mathematical theory of stability of motion; 1.1 The Watt flyball governor and its modifications; 1.2 The Hermite-Mikhailov criterion; 1.3 Theorem on stability by the linear approximation

1.4 The Watt governor transient processes  Chapter 2 Linear electric circuits. Transfer functions and frequency responses of linear blocks; 2.1 Description of linear blocks; 2.2 Transfer functions and frequency responses of linear blocks; Chapter 3 Controllability, observability, stabilization; 3.1 Controllability

3.2 Observability 3.3 A special form of the systems with controllable pair (A,b); 3.4 Stabilization. The Nyquist criterion; 3.5 The time-varying stabilization. The Brockett problem; Chapter 4 Two-dimensional control systems. Phase portraits; 4.1 An autopilot and spacecraft orientation system

4.2 A synchronous electric machine control and phase locked loops  4.3 The mathematical theory of populations; Chapter 5 Discrete systems; 5.1 Motivation; 5.2 Linear discrete systems; 5.3 The discrete phase locked loops for array processors

Chapter 6 The Aizerman conjecture. The Popov method  Bibliography; Index



Sommario/riassunto

This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics.  In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe a

2.

Record Nr.

UNINA9910303544903321

Titolo

Revue bibliographique de sinologie

Pubbl/distr/stampa

Paris, : Éditions de l'École des hautes études en sciences sociales

ISSN

2513-5406

Descrizione fisica

1 online resource

Disciplina

016.951

Soggetti

Education

periodicals.

Czasopismo językoznawcze

Abstracts.

Periodicals.

China Study and teaching Abstracts Periodicals

Chine Étude et enseignement Résumés analytiques Périodiques

China

Lingua di pubblicazione

Francese

Formato

Materiale a stampa

Livello bibliografico

Periodico

Note generali

At head of title: École pratique des hautes études, 6. section, 1955- ; École des hautes études en sciences sociales, <1983->