# Analysis, Modeling, and Stability of Fractional Order Differential Systems 2 : the Infinite State Approach

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Format

Language

English

ISBN

9781119686842, 1119686849

#### Notes

Description

This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization - long considered to be major theoretical pitfalls - have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.

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O'Reilly,O'Reilly Online Learning: Academic/Public Library Edition

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## Citations

**APA Citation, 7th Edition**(style guide)

Trigeassou, J., & Maamri, N. (2020). Analysis, Modeling, and Stability of Fractional Order Differential Systems 2: the Infinite State Approach . Wiley-ISTE.

**Chicago / Turabian - Author Date Citation, 17th Edition**(style guide)

Trigeassou, Jean-Claude and Nezha, Maamri. 2020. Analysis, Modeling, and Stability of Fractional Order Differential Systems 2: The Infinite State Approach. Wiley-ISTE.

**Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition**(style guide)

Trigeassou, Jean-Claude and Nezha, Maamri. Analysis, Modeling, and Stability of Fractional Order Differential Systems 2: The Infinite State Approach Wiley-ISTE, 2020.

**MLA Citation, 9th Edition**(style guide)

Trigeassou, Jean-Claude,, and Nezha Maamri. Analysis, Modeling, and Stability of Fractional Order Differential Systems 2: The Infinite State Approach Wiley-ISTE, 2020.

**Note!**Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

## Staff View

Grouped Work ID

f6e36e71-7d52-f22b-8c14-cde87a8cb866-eng

#### Grouping Information

Grouped Work ID | f6e36e71-7d52-f22b-8c14-cde87a8cb866-eng |
---|---|

Full title | analysis modeling and stability of fractional order differential systems 2 the infinite state approach |

Author | trigeassou jean claude |

Grouping Category | book |

Last Update | 2024-10-08 10:55:34AM |

Last Indexed | 2024-11-08 03:42:25AM |

#### Book Cover Information

Image Source | contentCafe |
---|---|

First Loaded | Aug 8, 2023 |

Last Used | Oct 18, 2024 |

#### Marc Record

First Detected | Mar 21, 2023 12:34:41 PM |
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Last File Modification Time | Mar 21, 2023 12:34:41 PM |

Suppressed | Record had no items |

### MARC Record

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