Time-delay systems: lyapunov functionals and matrices
<p>Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2013
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| Schriftenreihe: | Control engineering
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| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Zusammenfassung: | <p>Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems. </p><p>The book is organized into two parts. The first part is dedicated to the case of retarded type time-delay systems; it consists of four chapters, which respectively deal with results concerning the existence and uniqueness of the solutions of an initial value problem, the class of linear systems with one delay, the case of systems with several delays, and the case of systems with distributed delays. The second part of the book studies the case of neutral type time-delay systems, containing three chapters that extend the results presented earlier in the book to neutral time-delay systems and treating special classes of linear time-delay systems. </p><p><i>Time-Delay Systems: Lyapunov Functionals and Matrices </i>will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design.</p> |
| Beschreibung: | Preface.- Notations and Symbols.- Part I: Delay Type Systems -- 1 General Theory. 2 Single Delay Case.- 3 Multiple Delay Case.- 4 Systems with Distributed Delay.- Part II: Neutral Type Systems.- 5 General Theory.- 6 Linear Systems.- 7 Distributed Delay Case -- References -- Subject Index |
| Beschreibung: | 1 Online-Ressource (XVI, 311 p. 4 illus) |
| ISBN: | 9780817683672 |
| DOI: | 10.1007/978-0-8176-8367-2 |
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| 520 | |a <p>Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems. </p><p>The book is organized into two parts. The first part is dedicated to the case of retarded type time-delay systems; it consists of four chapters, which respectively deal with results concerning the existence and uniqueness of the solutions of an initial value problem, the class of linear systems with one delay, the case of systems with several delays, and the case of systems with distributed delays. The second part of the book studies the case of neutral type time-delay systems, containing three chapters that extend the results presented earlier in the book to neutral time-delay systems and treating special classes of linear time-delay systems. </p><p><i>Time-Delay Systems: Lyapunov Functionals and Matrices </i>will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design.</p> | ||
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Datensatz im Suchindex
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| adam_text | TIME-DELAY SYSTEMS
/ KHARITONOV, VLADIMIR L.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE.-NOTATIONS AND SYMBOLS.-PART I: DELAY TYPE SYSTEMS
1GENERAL THEORY. 2SINGLE DELAY CASE.-3MULTIPLE DELAY
CASE.-4SYSTEMS WITH DISTRIBUTED DELAY.-PART II: NEUTRAL TYPE
SYSTEMS.-5GENERAL THEORY.- 6LINEAR
SYSTEMS.-7DISTRIBUTED DELAY CASE
REFERENCES
SUBJECT INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TIME-DELAY SYSTEMS
/ KHARITONOV, VLADIMIR L.
: 2013
ABSTRACT / INHALTSTEXT
STABILITY IS ONE OF THE MOST STUDIED ISSUES IN THE THEORY OF TIME-DELAY
SYSTEMS,BUT THE CORRESPONDING CHAPTERS OF PUBLISHED VOLUMES ON
TIME-DELAY SYSTEMS DO NOT INCLUDE A COMPREHENSIVE STUDY OF A COUNTERPART
OFCLASSICAL LYAPUNOV THEORY FOR LINEAR DELAY FREE SYSTEMS. THE
PRINCIPAL GOAL OF THE BOOK IS TO FILL THIS GAP, AND TO PROVIDE READERS
WITH ASYSTEMATIC AND EXHAUSTIVETREATMENT OF THE BASIC CONCEPTS OF
THE LYAPUNOV-KRASOVSKII APPROACH TO THE STABILITY ANALYSIS OF LINEAR
TIME-DELAY SYSTEMS. THE BOOK IS ORGANIZED INTO TWO PARTS. THE FIRST PART
IS DEDICATED TO THE CASE OF RETARDED TYPE TIME-DELAY SYSTEMS;
ITCONSISTS OF FOUR CHAPTERS, WHICH RESPECTIVELY DEAL WITHRESULTS
CONCERNING THE EXISTENCE AND UNIQUENESS OF THE SOLUTIONS OF AN INITIAL
VALUE PROBLEM, THE CLASS OF LINEAR SYSTEMS WITH ONE DELAY, THE CASE OF
SYSTEMS WITH SEVERAL DELAYS, ANDTHE CASE OF SYSTEMS WITH DISTRIBUTED
DELAYS. THE SECOND PART OF THE BOOK STUDIESTHE CASE OF NEUTRAL TYPE
TIME-DELAY SYSTEMS, CONTAINING THREE CHAPTERS THAT EXTEND THE RESULTS
PRESENTED EARLIER IN THE BOOK TO NEUTRAL TIME-DELAY SYSTEMS AND TREATING
SPECIAL CLASSES OF LINEAR TIME-DELAY SYSTEMS. TIME-DELAY SYSTEMS:
LYAPUNOV FUNCTIONALS AND MATRICES WILL BE OF GREAT USE AND INTEREST TO
RESEARCHERS AND GRADUATE STUDENTS IN AUTOMATIC CONTROL AND APPLIED
MATHEMATICS AS WELL AS PRACTICING ENGINEERS INVOLVED IN CONTROL SYSTEM
DESIGN
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Charitonov, Vladimir L. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-8367-2 |
| format | Electronic eBook |
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| id | DE-604.BV040660406 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T16:14:51Z |
| institution | BVB |
| isbn | 9780817683672 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025487175 |
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| physical | 1 Online-Ressource (XVI, 311 p. 4 illus) |
| psigel | ZDB-2-ENG |
| publishDate | 2013 |
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| publisher | Springer |
| record_format | marc |
| series2 | Control engineering |
| spellingShingle | Charitonov, Vladimir L. Time-delay systems lyapunov functionals and matrices Ingenieurwissenschaften Mathematik Engineering Differentiable dynamical systems Mathematics Systems theory Engineering mathematics Ljapunov-Funktion (DE-588)4274502-0 gnd Zeitverzögertes System (DE-588)4780926-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4274502-0 (DE-588)4780926-7 (DE-588)4032317-1 |
| title | Time-delay systems lyapunov functionals and matrices |
| title_auth | Time-delay systems lyapunov functionals and matrices |
| title_exact_search | Time-delay systems lyapunov functionals and matrices |
| title_full | Time-delay systems lyapunov functionals and matrices Vladimir L. Kharitonov |
| title_fullStr | Time-delay systems lyapunov functionals and matrices Vladimir L. Kharitonov |
| title_full_unstemmed | Time-delay systems lyapunov functionals and matrices Vladimir L. Kharitonov |
| title_short | Time-delay systems |
| title_sort | time delay systems lyapunov functionals and matrices |
| title_sub | lyapunov functionals and matrices |
| topic | Ingenieurwissenschaften Mathematik Engineering Differentiable dynamical systems Mathematics Systems theory Engineering mathematics Ljapunov-Funktion (DE-588)4274502-0 gnd Zeitverzögertes System (DE-588)4780926-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Ingenieurwissenschaften Mathematik Engineering Differentiable dynamical systems Mathematics Systems theory Engineering mathematics Ljapunov-Funktion Zeitverzögertes System Kontrolltheorie |
| url | https://doi.org/10.1007/978-0-8176-8367-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025487175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025487175&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT charitonovvladimirl timedelaysystemslyapunovfunctionalsandmatrices |