报告人：上海理工大学原三领教授

报告题目：The effect of delay interval on the feedback control for a turbidostat model

摘要：In this paper, we propose a turbidostat model with delay interval on its output using a feedback control law, aiming to investigate how the delay interval affects the feedback control of the model. The delay interval is represented by two parameters, which describe the time delay distributed in a past sub-interval. We first prove the positivity and boundedness of solutions and the permanence of the model. Then, using the input flow rate as a feedback control variable, we discuss the asymptotical stabilization of a given state (i.e., the positive equilibrium) employing the method of Lyapunov functionals. Moreover, we further study the Hopf bifurcations induced by the two delay parameters. Our theoretical and numerical results all show that the delay interval can have a significantly different effect on the dynamics of a turbidostat model from other delay types.

报告时间：2022年10月26日下午15：00-17：00

报告形式：腾讯会议，会议号：675-834-243

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报告人简介：http://lxy.usst.edu.cn/_t86/2009/1113/c2263a30395/page.htm