Boundary Control for a Class of Reaction-diffusion Systems
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作者:
Yuan-Chao Si
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机构:
School of Mathematics and System Science, Southwest University
School of Mathematics and System Science, Guizhou UniversitySchool of Mathematics and System Science, Southwest University
Yuan-Chao Si
[1
,2
]
Cheng-Kang Xie
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School of Mathematics and System Science, Southwest UniversitySchool of Mathematics and System Science, Southwest University
Cheng-Kang Xie
[1
]
Na Zhao
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机构:
School of Mathematics and System Science, Southwest UniversitySchool of Mathematics and System Science, Southwest University
Na Zhao
[1
]
机构:
[1] School of Mathematics and System Science, Southwest University
[2] School of Mathematics and System Science, Guizhou University
Boundary control for a class of partial integro-differential systems with space and time dependent coefficients is considered. A control law is derived via the partial differential equation(PDE) backstepping. The existence of kernel equations is proved.Exponential stability of the closed-loop system is achieved. Simulation results are presented through figures.
机构:
Northwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Northwestern Polytech Univ, Sch Artificial Intelligence Opt Elect iOPEN, Xi'an 710072, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Gao, Shupeng
Chang, Lili
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Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Peoples R China
Shanxi Key Lab Math Tech & Big Data Anal Dis Contr, Taiyuan 030006, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Chang, Lili
Romic, Ivan
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Northwestern Polytech Univ, Sch Artificial Intelligence Opt Elect iOPEN, Xi'an 710072, Peoples R China
Yunnan Univ Finance & Econ, Stat & Math Coll, Kunming 650221, Peoples R China
Osaka City Univ, Grad Sch Econ, Osaka, 5588585, JapanNorthwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Romic, Ivan
Wang, Zhen
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机构:
Northwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Northwestern Polytech Univ, Sch Artificial Intelligence Opt Elect iOPEN, Xi'an 710072, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China
Wang, Zhen
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机构:
Jusup, Marko
Holme, Petter
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机构:
Inst Innovat Res, Tokyo Inst Technol, Tokyo Tech World Hub Res Initiat WRHI, Yokohama, 1528550, JapanNorthwestern Polytech Univ, Sch Mech Engn, Xi'an 710072, Peoples R China