Analysis, Modeling and Stability of Fractional Order Differential Systems 2 : (Record no. 15427)
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| fixed length control field | 04850nam a22004213i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC6001237 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724114102.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2020 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119686842 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781786304551 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC6001237 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL6001237 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1134074461 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA314 |
| Item number | .T754 2020 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Trigeassou, Jean-Claude. |
| 245 10 - TITLE STATEMENT | |
| Title | Analysis, Modeling and Stability of Fractional Order Differential Systems 2 : |
| Remainder of title | The Infinite State Approach. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Newark : |
| Name of producer, publisher, distributor, manufacturer | John Wiley & Sons, Incorporated, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2020. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (352 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Table of Contents -- Foreword -- Preface -- PART 1: Initialization, State Observation and Control -- 1 Initialization of Fractional Order Systems -- 1.1. Introduction -- 1.2. Initialization of an integer order differential system -- 1.3. Initialization of a fractional differential equation -- 1.4. Initialization of a fractional differential system -- 1.5. Some initialization examples -- 2 Observability and Controllability of FDEs/FDSs -- 2.1. Introduction -- 2.2. A survey of classical approaches to the observability and controllability of fractional differential systems -- 2.3. Pseudo-observability and pseudo-controllability of an FDS -- 2.4. Observability and controllability of the distributed state -- 2.5. Conclusion -- 3 Improved Initialization of Fractional Order Systems -- 3.1. Introduction -- 3.2. Initialization: problem statement -- 3.3. Initialization with a fractional observer -- 3.4. Improved initialization -- A.3. Appendix -- 4 State Control of Fractional Differential Systems -- 4.1. Introduction -- 4.2. Pseudo-state control of an FDS -- 4.3. State control of the elementary FDE -- 4.4. State control of an FDS -- 4.5. Conclusion -- 5 Fractional Model-based Control of the Diffusive RC Line -- 5.1. Introduction -- 5.2. Identification of the RC line using a fractional model -- 5.3. Reset of the RC line -- PART 2: Stability of Fractional Differential Equations and Systems -- 6 Stability of Linear FDEs Using the Nyquist Criterion -- 6.1. Introduction -- 6.2. Simulation and stability of fractional differential equations -- 6.3. Stability of ordinary differential equations -- 6.4. Stability analysis of FDEs -- 6.5. Stability analysis of ODEs with time delays -- 6.6. Stability analysis of FDEs with time delays -- 7 Fractional Energy -- 7.1. Introduction -- 7.2. Pseudo-energy stored in a fractional integrator. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.3. Energy stored and dissipated in a fractional integrator -- 7.4. Closed-loop and open-loop fractional energies -- 8 Lyapunov Stability of Commensurate Order Fractional Systems -- 8.1. Introduction -- 8.2. Lyapunov stability of a one-derivative FDE -- 8.3. Lyapunov stability of an N-derivative FDE -- 8.4. Lyapunov stability of a two-derivative commensurate order FDE -- 8.5. Lyapunov stability of an N-derivative FDE (N > -- 2) -- A.8. Appendix -- 9 Lyapunov Stability of Non-commensurate Order Fractional Systems -- 9.1. Introduction -- 9.2. Stored energy, dissipation and energy balance in fractional electrical devices -- 9.3. The usual series RLC circuit -- 9.4. The series RLC* fractional circuit -- 9.5. The series RLL*C* circuit -- 9.6. The series RL*C* fractional circuit -- 9.7. Stability of a commensurate order FDE: energy balance approach -- 9.8. Stability of a commensurate order FDE: physical interpretation of the usual approach -- A.9. Appendix -- 10 An Introduction to the Lyapunov Stability of Nonlinear Fractional Order Systems -- 10.1. Introduction -- 10.2. Indirect Lyapunov method -- 10.3. Lyapunov direct method -- 10.4. The Van der Pol oscillator -- 10.5. Analysis of local stability -- 10.6. Large signal analysis -- References -- Index -- End User License Agreement. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fractional calculus. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Maamri, Nezha. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Trigeassou, Jean-Claude |
| Title | Analysis, Modeling and Stability of Fractional Order Differential Systems 2 |
| Place, publisher, and date of publication | Newark : John Wiley & Sons, Incorporated,c2020 |
| International Standard Book Number | 9781786304551 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6001237">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6001237</a> |
| Public note | Click to View |
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