Stabilisation of controlled positive delayed continuous-time systems
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作者:
Benzaouia, A.
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EACPI, Unit Res, Dept Phys, Fac Sci Semlalia, Marrakech 40000, MoroccoEACPI, Unit Res, Dept Phys, Fac Sci Semlalia, Marrakech 40000, Morocco
Benzaouia, A.
[1
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Hmamed, A.
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Univ Mohamed Ben Abdellah, LESSI, Unit Res, Fac Sci Dhar EL Mhraz, Fes, MoroccoEACPI, Unit Res, Dept Phys, Fac Sci Semlalia, Marrakech 40000, Morocco
This article solves the stabilisation problem by output feedback control for linear continuous-time systems with delay. This technique can be applied for both positive systems and controlled positive systems (systems becoming positive in closed-loop). The synthesis of feedback controllers is solved in terms of linear programs, extending the solution also to stabilisation with bounded control and stabilisation by controllers with the memory of the delayed state. The proposed conditions do not involve the value of the delay. Some examples illustrate the proposed approach.
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Zhang, Xian-Ming
;
Li, Minmei
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Cent Queensland Univ, Sch Comp Sci, Rockhampton, Qld 4702, AustraliaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Li, Minmei
;
Wu, Min
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Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Wu, Min
;
She, Jin-Hua
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Tokyo Univ Technol, Sch Comp Sci, Tokyo, JapanCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Zhang, Xian-Ming
;
Li, Minmei
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机构:
Cent Queensland Univ, Sch Comp Sci, Rockhampton, Qld 4702, AustraliaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Li, Minmei
;
Wu, Min
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h-index: 0
机构:
Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Wu, Min
;
She, Jin-Hua
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机构:
Tokyo Univ Technol, Sch Comp Sci, Tokyo, JapanCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China