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Stability analysis of fractional-order systems with double noncommensurate orders for matrix case

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Abstract

Bounded-input bounded-output stability issues for fractional-order linear time invariant (LTI) system with double noncommensurate orders for the matrix case have been established in this paper. Sufficient and necessary condition of stability is given, and a simple algorithm to test the stability for this kind of fractional-order systems is presented. Based on the numerical inverse Laplace transform technique, time-domain responses for fractional-order system with double noncommensurate orders are shown in numerical examples to illustrate the proposed results.

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Authors and Affiliations

  1. Department of Automation, Tsinghua University, Beijing, 100084, P.R. China

    Zhuang Jiao

  2. CSOIS, ECE Department, Utah State University, Logan, UT, 84322, USA

    Zhuang Jiao & YangQuan Chen

Authors
  1. Zhuang Jiao
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  2. YangQuan Chen
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Correspondence to Zhuang Jiao.

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Jiao, Z., Chen, Y. Stability analysis of fractional-order systems with double noncommensurate orders for matrix case. fcaa 14, 436–453 (2011). https://doi.org/10.2478/s13540-011-0027-3

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  • DOI: https://doi.org/10.2478/s13540-011-0027-3

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