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Mesquine, F.; Hmamed, A.; Benhayoun, M.; Benzaouia, A.; Tadeo, F.

Robust stabilization of constrained uncertain continuous-time fractional positive systems. (English) Zbl 1307.93355

J. Franklin Inst. 352, No. 1, 259-270 (2015).
Summary: The robust stabilization problem is solved for uncertain fractional linear continuous-time systems having bounded asymmetric control, with additional condition of non-negativity of the states. The synthesis of state-feedback controllers is obtained by giving conditions in terms of linear programs. An illustrative example is provided to show the usefulness of the results.

Cited in 14 Documents

MSC:

93D21 Adaptive or robust stabilization
93C05 Linear systems in control theory
93B52 Feedback control
90C05 Linear programming

Keywords:

robust stabilization problem; uncertain fractional linear continuous-time systems; state-feedback; linear programs

Software:

CRONE
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Full Text: DOI

References:

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