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

与非线性动力系统控制问题相关的无限维线性规划问题的对偶性、奇异摄动和数值分析

• 批准号: DP0986696
• 负责人: Prof Vladimir Gaitsgory
• 金额: $ 10.4万
• 依托单位: University of South Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0986696
• 关键词: Duality; singular; perturbations; numerical; analysis

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.

非线性动力系统的控制问题吸引了杰出研究人员的持续兴趣，这些研究人员的动机是重要的应用，以及对一般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础理论成果和易于应用的（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新的工具，用于分析和数值求解非线性控制问题（包括迄今为止难以解决的问题）。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。