Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 66, Issue 5, Pages 873-882Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2013.03.001
Keywords
Fractional-order system; Robust stability; Structured perturbations
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Funding
- National Natural Science Foundation of China [60744002, 60775062, 60974002, 60934006]
- Shanghai Natural Science Foundation [09ZR1414200]
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This paper considers the robust asymptotical stability problem of fractional-order linear systems with structured perturbations, which are more general than the investigated fractional-order interval systems. Based on the Kronecker product and mu-analysis, necessary and sufficient conditions for the robust asymptotical stability are established by transforming such a problem into checking the nonsingularity of a class of uncertain matrices. Furthermore, the robustness bounds with respect to parametric perturbations to preserve the asymptotical stability are given in terms of the structured singular values. Finally, illustrative examples are given to show the effectiveness of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.
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