1. Robust stability analysis for a class of fractional order systems with uncertain parameters
- Author
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Liao, Zeng, Peng, Cheng, Li, Wang, and Wang, Yong
- Subjects
- *
CONTROL theory (Engineering) , *ROBUST control , *LINEAR time invariant systems , *STABILITY (Mechanics) , *COUPLINGS (Gearing) , *UNCERTAINTY (Information theory) , *SYSTEMS theory , *MATRIX inequalities - Abstract
Abstract: The research of robust stability for fractional order linear time-invariant (FO-LTI) interval systems with uncertain parameters has become a hot issue. In this paper, it is the first time to consider robust stability of uncertain parameters FO-LTI interval systems, which have deterministic linear coupling relationship between fractional order and other model parameters. Linear matrix inequalities (LMI) methods are used, and a criterion for checking asymptotical stability of this class of systems is presented. One numerical illustrative example is given to verify the correctness of the conclusions. [Copyright &y& Elsevier]
- Published
- 2011
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