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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Ethelbert N Chukwu |

ISBN: | 9810246749 9789810246747 |

OCLC Number: | 49611198 |

Description: | xix, 495 pages : illustrations ; 26 cm. |

Contents: | Preface to the Second Edition. Ch. 1. Examples of Control Systems Described by Functional Differential Equations. p. 1. Ch. 2. General Linear Equations. p. 49. Ch. 3. Lyapunov-Razumikhin Methods of Stability in Delay Equations. p. 79. Ch. 4. Global Stability of Functional Differential Equations of Neutral Type. p. 97. Ch. 5. Synthesis of Time-Optimal and Minimum-Effort Control of Linear Ordinary Systems. p. 113. Ch. 6. Control of Linear Delay Systems. p. 187. Ch. 7. Synthesis of Time-Optimal and Minimum-Effort Control of Linear Delay Systems. p. 201. Ch. 8. Controllable Nonlinear Delay Systems. p. 289. Ch. 9. Control of Interconnected Nonlinear Delay Differential Equations in W[subscript 2][superscript (1)]. p. 321. Ch. 10. Time-Optimal Control of Linear Differential Equations of Neutral Type. p. 353. Ch. 11. Time-Optimal Control Theory of Nonlinear Systems of Neutral Type. p. 413. Ch. 12. Controllable Nonlinear Neutral Systems. p. 443. Ch. 13. Stability Theory of Large-Scale Hereditary Systems. p. 463. App.: to Section 1.10. p. 473. Index. p. 493. |

Series Title: | Series on advances in mathematics for applied sciences, v. 60. |

Responsibility: | E.N. Chukwu. |

More information: |

## Reviews

*Editorial reviews*

Publisher Synopsis

"The book under review, mostly based on the author's contributions, contains new developments in control theory for hereditary systems that are of mathematical interest and have important applications. The results obtained are illustrated by meaningful examples from engineering, economics, and biology, most of, which are not only academic but are really important for applications. This book can be recommended to mathematicians and graduate students as well as to engineers, economists, and others who are interested in applications of hereditary systems and mathematical control theory." B Mordukhovich Mathematical Reviews Ann Arbor MI "This monograph introduces the theory of stability and time-optimal control of hereditary systems. Examples from biology, from economics and from engineering are used to study the stability and the time-optimal control of hereditary systems. Within this theory the problem of minimum energy and effort control of systems are also explored. Some efforts are made to construct an optimal control strategy for the simple linear systems cited in the examples. For finite-dimensional linear systems, time-optimal and minimum effort feedback controls are constructed." T Riismaa Zebtralblatt fur Mathematik Tallinn "Chukwu's book should serve as a useful introduction to the mathematical theory of the control hereditary systems. It is of particular interest to applied mathematicians and engineers. There is much to be gained from studying this book." T S Angell University of Delaware Newark, DE USA Read more...

*User-contributed reviews*