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Fractional Calculus : High-Precision Algorithms and Numerical Implementations / / by Dingyü Xue, Lu Bai
| Fractional Calculus : High-Precision Algorithms and Numerical Implementations / / by Dingyü Xue, Lu Bai |
| Autore | Xue Dingyü |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (413 pages) |
| Disciplina | 518.1 |
| Soggetto topico |
Automatic control
Differential equations Control and Systems Theory Differential Equations |
| ISBN | 981-9920-70-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to Fractional Calculus -- Commonly Used Special Functions: Definitions and Computing -- Definitions and Numerical Evaluations of Fractional Calculus -- High-precision Numerical Algorithms and Implementation in Fractional Calculus -- Approximations of Fractional-order Operators and Systems -- Analytical and Numerical Solutions of Linear Fractional-order Differential Equations -- Numerical Solutions of Nonlinear FODEs -- Block Diagram based Solutions of FODEs -- Numerical Solutions of Special Fractional-order Differential Equations. |
| Record Nr. | UNINA-9910855383603321 |
Xue Dingyü
|
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue
| Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue |
| Autore | Xue Dingyü |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (372 pages) : color illustrations |
| Disciplina | 629.8 |
| Collana | Fractional Calculus in Applied Sciences and Engineering |
| Soggetto topico | Automatic control - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-049719-0
3-11-049797-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Preface -- Contents -- 1. Introduction to fractional calculus and fractional-order control -- 2. Mathematical prerequisites -- 3. Definitions and computation algorithms of fractional-order derivatives and integrals -- 4. Solutions of linear fractional-order differential equations -- 5. Approximation of fractional-order operators -- 6. Modelling and analysis of multivariable fractional-order transfer function matrices -- 7. State space modelling and analysis of linear fractional-order systems -- 8. Numerical solutions of nonlinear fractional-order differential equations -- 9. Design of fractional-order PID controllers -- 10. Frequency domain controller design for multivariable fractional-order systems -- A. Inverse Laplace transforms involving fractional and irrational operations -- B. FOTF Toolbox functions and models -- C. Benchmark problems for the assessment of fractional-order differential equation algorithms -- Bibliography -- Index |
| Record Nr. | UNINA-9910466779903321 |
|
Xue Dingyü
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue
| Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue |
| Autore | Xue Dingyü |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (372 pages) : color illustrations |
| Disciplina | 629.8 |
| Collana | Fractional Calculus in Applied Sciences and Engineering |
| Soggetto topico | Automatic control - Mathematical models |
| ISBN |
3-11-049719-0
3-11-049797-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Preface -- Contents -- 1. Introduction to fractional calculus and fractional-order control -- 2. Mathematical prerequisites -- 3. Definitions and computation algorithms of fractional-order derivatives and integrals -- 4. Solutions of linear fractional-order differential equations -- 5. Approximation of fractional-order operators -- 6. Modelling and analysis of multivariable fractional-order transfer function matrices -- 7. State space modelling and analysis of linear fractional-order systems -- 8. Numerical solutions of nonlinear fractional-order differential equations -- 9. Design of fractional-order PID controllers -- 10. Frequency domain controller design for multivariable fractional-order systems -- A. Inverse Laplace transforms involving fractional and irrational operations -- B. FOTF Toolbox functions and models -- C. Benchmark problems for the assessment of fractional-order differential equation algorithms -- Bibliography -- Index |
| Record Nr. | UNINA-9910795932803321 |
|
Xue Dingyü
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue
| Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue |
| Autore | Xue Dingyü |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (372 pages) : color illustrations |
| Disciplina | 629.8 |
| Collana | Fractional Calculus in Applied Sciences and Engineering |
| Soggetto topico | Automatic control - Mathematical models |
| ISBN |
3-11-049719-0
3-11-049797-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Preface -- Contents -- 1. Introduction to fractional calculus and fractional-order control -- 2. Mathematical prerequisites -- 3. Definitions and computation algorithms of fractional-order derivatives and integrals -- 4. Solutions of linear fractional-order differential equations -- 5. Approximation of fractional-order operators -- 6. Modelling and analysis of multivariable fractional-order transfer function matrices -- 7. State space modelling and analysis of linear fractional-order systems -- 8. Numerical solutions of nonlinear fractional-order differential equations -- 9. Design of fractional-order PID controllers -- 10. Frequency domain controller design for multivariable fractional-order systems -- A. Inverse Laplace transforms involving fractional and irrational operations -- B. FOTF Toolbox functions and models -- C. Benchmark problems for the assessment of fractional-order differential equation algorithms -- Bibliography -- Index |
| Record Nr. | UNINA-9910809263603321 |
|
Xue Dingyü
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||