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Stability criteria for a class of fractional order systems

Kheirizad, I ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s11071-009-9638-1
  3. Publisher: 2010
  4. Abstract:
  5. This paper deals with the stability problem in LTI fractional order systems having fractional orders between 1 and 1.5. Some sufficient algebraic conditions to guarantee the BIBO stability in such systems are obtained. The obtained conditions directly depend on the coefficients of the system equations, and consequently using them is easier than the use of conditions constructed based on solving the characteristic equation of the system. Some illustrations are presented to show the applicability of the obtained conditions. For example, it is shown that these conditions may be useful in stabilization of unstable fractional order systems or in taming fractional order chaotic systems
  6. Keywords:
  7. Stability ; Algebraic conditions ; BIBO stability ; Characteristic equation ; Fractional order ; Fractional order system ; Fractional-order chaotic systems ; Fractional-order systems ; Stability problem ; System equations ; Algebra ; Chaotic systems ; Stability criteria ; Stabilization ; System stability
  8. Source: Nonlinear Dynamics ; Volume 61, Issue 1-2 , 2010 , Pages 153-161 ; 0924090X (ISSN)
  9. URL: http://link.springer.com/article/10.1007/s11071-009-9638-1