Analysis, Modeling and Stability of Fractional Order Differential Systems. 2, The infinite state approach

Analysis, Modeling and Stability of Fractional Order Differential Systems. 2, The infinite state approach / Jean-Claude Trigeassou, Nezha Maamri.

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 result...

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Bibliographic Details
Main Author: Trigeassou, Jean-Claude
Other Authors: Maamri, Nezha
Format: eBook
Language:English
Published: London : Hoboken : ISTE, Ltd. ; John Wiley & Sons, Incorporated, ©2019.
Subjects:
Fractional differential equations.
TECHNOLOGY & ENGINEERING > Industrial Engineering.
Fractional differential equations
Online Access:Click for online access
Table of Contents:
  • Initialization, State Observation and Control. Initialization of Fractional Order Systems
  • Observability and Controllability of FDEs/FDSs
  • Improved Initialization of Fractional Order Systems
  • State Control of Fractional Differential Systems
  • Fractional Model-based Control of the Diffusive RC Line
  • Stability of Fractional Differential Equations and Systems. Stability of Linear FDEs Using the Nyquist Criterion
  • Fractional Energy
  • Lyapunov Stability of Commensurate Order Fractional Systems
  • Lyapunov Stability of Non-commensurate Order Fractional Systems
  • An Introduction to the Lyapunov Stability of Nonlinear Fractional Order Systems.

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