报告题目：

Reachable sets for positive linear systems under constrained exogenous inputs

主 讲 人： 杜宝珠 教授

报告时间： 2024年7月7日 周日下午 15:00-17:00

报告地点： 数理楼224

报告摘要：

Compared with general linear systems, positive linear systems play an irreplaceable role in fields such as ecology, economics, and biomedicine. Its positivity makes it easier to obtain the non-negative property of physical quantities in practical applications. Therefore, analyzing and estimating the states of a positive system has great theoretical significance. This report investigates positive continuous-/discrete-time systems with constrained disturbance inputs and time delay, and estimates the reachable set by different shapes in hyperspace. With the help of multiple co-positive Lyapunov functions, inequality conditions to estimate the reachable set by a class of polyhedral are obtained, and the construction method of different auxiliary functions corresponding to different systems are analyzed. In addition, the properties of interconnected positive systems are also studied. The artificial construction of the interconnection matrix can make the output signal meet the preset shape, such as in the application of fleet queue control.

个人简介：

杜宝珠，女，教授/博导，洪堡学者。东北大学获得学士学位和硕士学位，香港大学获得博士学位。澳大利亚中央昆士兰大学访问博士后。IEEE国际电气电子工程师学会会员;中国自动化学会会员。主持国家自然科学基金项目面上基金2项，青年基金1项，省部级项目多项。研究兴趣包括复杂系统性能分析、安全域估计、网络和悬架机械控制，故障监测，传感器降噪等。