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Stability criteria for a class of fractional order systems

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Abstract

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.

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Authors and Affiliations

  1. Electrical Engineering Department, Iran University of Science and Technology, Tehran, Iran

    Iraj Kheirizad & Ali Akbar Jalali

  2. Electrical Engineering Department, Sharif University of Technology, Tehran, Iran

    Mohammad Saleh Tavazoei

Authors
  1. Iraj Kheirizad
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  2. Mohammad Saleh Tavazoei
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  3. Ali Akbar Jalali
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Correspondence to Mohammad Saleh Tavazoei.

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Kheirizad, I., Tavazoei, M.S. & Jalali, A.A. Stability criteria for a class of fractional order systems. Nonlinear Dyn 61, 153–161 (2010). https://doi.org/10.1007/s11071-009-9638-1

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  • DOI: https://doi.org/10.1007/s11071-009-9638-1

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