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《第36届中国控制会议论文集(A)》2017年
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Dissipative Control for an Epidemic System with Exponential Incidence Rate

Xinli Chi  Hongxia Yu  Qingzhong Gao  
【摘要】:In this paper, the bifurcation and chaos dissipative control for a class of epidemic system with exponential incidence rate. Firstly, the dynamic behavior analysis of epidemic system is provided in detail. The bifurcation and chaos characters of the system with parameter variations is verified through numerical simulations. Furthermore, a effective T-S fuzzy model for infectious disease is adopted, and the control problem of nonlinearity system is transformed into the control problem of the linear system. Linear matrix inequalities(LMIs) technique is used to design the dissipation controller to simplify the solve process. The proposed dissipative controller approaches successfully eliminate the bifurcation and chaos appeared in the system. The effectiveness is verified by some numerical simulation results.
【作者单位】:Shenyang Institute of Engineering School of Information Science and Engineering,Northeastern University
【基金】:supported by National Nature Science Foundation under Grant(F030107) Program of Liaoning Provincial Office of Education(L2015366)
【分类号】:O231;R181
【正文快照】:
1 INTRODUCTIONInfectious diseases are caused by a particularpathogen,such as bacteria,viruses,parasites,etc.Themechanism of epidemics has been the object of studiesfor centuries,which plays a key role in the developmentof biological species[1].Detailed m

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