Occupational Measures Approach to Long Run Average and Singularly Perturbed Optimal Control Problems

长期平均和奇异摄动系统的最优控制问题在许多应用中都会出现。该项目将导致开发新的基于线性规划的技术，用于分析这些问题(包括迄今难以解决的问题)并找到其数值解。这些新技术将有可能被进一步开发成软件，使澳大利亚的产业和技术受益。这一提议的主题是世界各地许多著名研究人员感兴趣的焦点，我们成果的传播将进一步提高澳大利亚在国际研究界的地位。

Problems of optimal control of long-run average and singularly perturbed systems arise in many applications. The project will lead to the development of new linear programming based techniques for analyzing these problems (including problems intractable so far) and finding their numerical solutions. The new techniques will have a potential to be further developed into software that can benefit Australian industries and technologies. The proposed topic is in the focus of interest of many eminent researchers around the world and the dissemination of our results will further improve Australia's standing in the international research community.