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Analysis, modeling and stability of fractional order differential systems : The infinite state approach /

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Bibliographic Details
Main Authors: Trigeassou, Jean-Claude (Author), Maamri, Nezha (Author)
Format: eBook
Language:English
Published: London, UK : Hoboken, NJ : ISTE, Ltd. ; John Wiley & Sons, 2019.
Series:Systems and industrial engineering series.
Subjects:
Fractional differential equations.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Volume 1. Simulation and Identification of Fractional Differential Equations (FDEs) and Systems (FDSs). The Fractional Integrator
  • Frequency Approach to the Synthesis of the Fractional Integrator
  • Comparison of Two Simulation Techniques
  • Fractional Modeling of the Diffusive Interface
  • Modeling of Physical Systems with Fractional Models: an Illustrative Example
  • The Infinite State Approach. The Distributed Model of the Fractional Integrator
  • Modeling of FDEs and FDSs
  • Fractional Differentiation
  • Analytical Expressions of FDS Transients
  • Infinite State and Fractional Differentiation of Functions
  • Volume 2. 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 linear FDEs using the Nyquist criterion
  • Fractional energy
  • Lyapunov stability of commensurate order fractional systems
  • Lyapunov stability of non-commensurate order fractions systems
  • Introduction to the Lyapunov stability of nonlinear fractional order systems.