Robust stability check of fractional order linear time invariant systems with interval uncertainties

Authors:
YangQuan Chen;Hyo-Sung Ahn;Igor Podlubny
Affiliations:
Department of Electrical and Computer Engineering, Center for Self-Organizing and Intelligent System, Utah State University, Logan, UT;Department of Electrical and Computer Engineering, Center for Self-Organizing and Intelligent System, Utah State University, Logan, UT;Department of Informatization and Control of Processes, Technical University of Kosice, Kosice, Slovak Republic
Venue:
Signal Processing - Fractional calculus applications in signals and systems
Year:
2006

Citing 2
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Abstract

For uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients described in state space form, the robust stability check problem is solved for the first time in this paper. Both the checking procedure and the Matlab code are presented with two illustrative examples. The conservatism is shown to be small.