Dissipative Control for an Epidemic System with Exponential Incidence Rate

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• 英文论文题名：Dissipative Control for an Epidemic System with Exponential Incidence Rate
• 论文作者：Xinli Chi ; Hongxia Yu ; Qingzhong Gao
• 英文论文作者：Xinli Chi ; Hongxia Yu ; Qingzhong Gao ; Shenyang Institute of Engineering ; School of Information Science and Engineering ; Northeastern University
• 年：2017
• 作者机构：Shenyang Institute of Engineering;School of Information Science and Engineering,Northeastern University;
• 英文论文关键词：Nonlinear control ; chaos dissipative control ; T-S model
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O231;R181
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：413k
• 原文格式：D
• 会议级别：全国

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.
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.

引文

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