Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 64, Issue 10, Pages 3053-3058Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.10.014
Keywords
Bounded-input bounded-output stability; Fractional-order systems; Multiple noncommensurate orders; Time-domain response
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Funding
- Tsinghua-Santander Postgraduate Research Scholarship
- National Nature Science Foundation of PR China [60736024]
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Bounded-input bounded-output stability conditions for fractional-order linear time-invariant (LTI) systems with multiple noncommensurate orders have been established in this paper. The orders become noncommensurate orders when they do not have a common divisor. Sufficient and necessary conditions of stability for a fractional-order LTI system with multiple noncommensurate orders are presented in two cases. Based on the numerical inverse Laplace transform technique, time-domain responses for a fractional-order system with double noncommensurate orders are presented to illustrate the obtained stability results. (C) 2011 Elsevier Ltd. All rights reserved.
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