A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems

脉冲系统表现出沿其轨迹在不同时间点发生跳跃的现象。它们产生于许多应用，例如确定癌症和糖尿病治疗中的适当给药水平、优化扩大能力的投资战略以及可持续的最佳森林管理。这个项目将产生关于稳定性的基础理论，以及脉冲控制问题的稳定控制和最优控制的有效计算算法和软件包。这些成果将提高澳大利亚在前沿研究方面的声誉，并促进国际合作的机会。它还将为研究培训提供一个极好的机会。

Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.