Duality, singular perturbations and numerical analysis in infinite dimensional linear programming problems related to problems of control of nonlinear dynamical systems

非线性动力系统的控制问题一直吸引着著名研究人员的兴趣，其动机是重要的应用，以及对一般的非线性控制问题进行分析和/或数值分析是一项具有挑战性的任务。该项目的成果将是基本的理论结果和易于应用的(基于线性规划的)算法，这些算法将为研究人员和工程师提供分析和数值解决非线性控制问题(包括迄今难以解决的问题)的新工具。该项目将进一步提高澳大利亚在控制理论及其应用方面的国际声誉。

Problems of control of nonlinear dynamical systems attract continued interest of eminent researchers motivated by important applications and by the fact that analytical and/or numerical analysis of a general nonlinear control problem presents a challenging task. The outcomes of the project will be both fundamental theoretical results and readily applicable (linear programming based) algorithms that will equip researchers and engineers with new tools for analysis and numerical solution of nonlinear control problems (including problems that have been intractable so far). The project will further enhance Australia's international reputation in Control Theory and its Applications.