Periodic solution of a turbidostat model with impulsive state feedback control |
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Authors: | Zuxiong Li Lansun Chen |
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Institution: | 1.Department of Applied Mathematics,Dalian University of Technology,Dalian,People’s Republic of China;2.Jishou University,Jishou,People’s Republic of China |
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Abstract: | In this paper, a turbidostat model with impulsive state feedback control is considered. We obtain sufficient conditions of
the global asymptotical stability of the system without impulsive state feedback control. We also obtain that the system with
impulsive state feedback control may have order one periodic solution, and the sufficient condition for existence and stability
of order one periodic solution is gotten as well. For some special cases, it is shown that in the system an order two periodic
solution may exist. Our results show that the control measure is effective and reliable. |
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