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| 001 | EBC6001237 | ||
| 003 | MiAaPQ | ||
| 005 | 20240724114102.0 | ||
| 006 | m o d | | ||
| 007 | cr cnu|||||||| | ||
| 008 | 240724s2020 xx o ||||0 eng d | ||
| 020 |
_a9781119686842 _q(electronic bk.) |
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| 020 | _z9781786304551 | ||
| 035 | _a(MiAaPQ)EBC6001237 | ||
| 035 | _a(Au-PeEL)EBL6001237 | ||
| 035 | _a(OCoLC)1134074461 | ||
| 040 |
_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ |
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| 050 | 4 |
_aQA314 _b.T754 2020 |
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| 100 | 1 | _aTrigeassou, Jean-Claude. | |
| 245 | 1 | 0 |
_aAnalysis, Modeling and Stability of Fractional Order Differential Systems 2 : _bThe Infinite State Approach. |
| 250 | _a1st ed. | ||
| 264 | 1 |
_aNewark : _bJohn Wiley & Sons, Incorporated, _c2020. |
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| 264 | 4 | _c©2020. | |
| 300 | _a1 online resource (352 pages) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 505 | 0 | _aIntro -- 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 | _a7.3. 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 | _aDescription based on publisher supplied metadata and other sources. | ||
| 590 | _aElectronic 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 | _aFractional calculus. | |
| 655 | 4 | _aElectronic books. | |
| 700 | 1 | _aMaamri, Nezha. | |
| 776 | 0 | 8 |
_iPrint version: _aTrigeassou, Jean-Claude _tAnalysis, Modeling and Stability of Fractional Order Differential Systems 2 _dNewark : John Wiley & Sons, Incorporated,c2020 _z9781786304551 |
| 797 | 2 | _aProQuest (Firm) | |
| 856 | 4 | 0 |
_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6001237 _zClick to View |
| 999 |
_c15427 _d15427 |
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