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数学与统计学院2023年第4期学术论坛

作者: 来源: 阅读次数: 日期:2023-09-22


 会议时间:2023年9月27日(周三)14:30

  会议地点:豁然楼B414

  报告1:切换正系统稳定性分析

  报告人:孙敏

 内容简介:切换正系统在社会系统与工程系统中得到了广泛的应用。本报告主要介绍脉冲控制下的时变线性正切换系统的指数稳定性分析。通过构造切换离散Lyapunov函数,在子系统全部不稳定的情况下,给出了一些保证该系统指数稳定的充分条件。将所得的充分条件应用到带切换协议的多智能体一致控制上,同时给出更多的实例验证理论结果的正确性。最后指出该研究方向有待解决的问题。

参考文献:

 [1]Yanhao Ju, Fanwei Meng, Yuangong Sun, Exponential stability of switched linear impulsive time-varying system and its application, Journal of the Franklin Institute 359 (2022) 5619–5633.

 报告2Further results on adaptive state feedback stabilization for a class of stochastic feedforward nonlinear systems with time delays

  报告人:秦孝艳

 内容简介:This talk discusses the state feedback stabilization for stochastic high-order feedforward nonlinear systems with input time delay. By constructing the appropriate Lyapunov–Krasovskii functional, and using the variable transformation technique and the homogeneous domination idea, a state feedback controller is designed to ensure that the closed-loop system will be globally asymptotically stable in probability. Finally, an example is given to verify the effectiveness of the obtained analytical results.