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Robust stability analysis of uncertain multiorder fractional systems: young and Jensen inequalities approach

Taghavian, H ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1002/rnc.3919
  3. Publisher: John Wiley and Sons Ltd , 2018
  4. Abstract:
  5. Robust stability analysis of multiorder fractional linear time-invariant systems is studied in this paper. In the present study, first, conservative stability boundaries with respect to the eigenvalues of a dynamic matrix for this kind of systems are found by using Young and Jensen inequalities. Then, considering uncertainty on the dynamic matrix, fractional orders, and fractional derivative coefficients, some sufficient conditions are derived for the stability analysis of uncertain multiorder fractional systems. Numerical examples are presented to confirm the obtained analytical results. Copyright © 2017 John Wiley & Sons, Ltd
  6. Keywords:
  7. Multiorder fractional system ; Stability boundary ; Uncertainty ; Eigenvalues and eigenfunctions ; Invariance ; Linear systems ; Stability ; Time varying control systems ; Uncertainty analysis ; Fractional derivatives ; Fractional systems ; Linear time invariant systems ; Robust stability ; Robust stability analysis ; Stability analysis ; Stability boundaries ; System stability
  8. Source: International Journal of Robust and Nonlinear Control ; Volume 28, Issue 4 , March , 2018 , Pages 1127-1144 ; 10498923 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/full/10.1002/rnc.3919