关于连续时间二次分数规划的参数二次规划的一些性质

2012 Fifth International Joint Conference on Computational Sciences and Optimization Pub Date : 2012-06-23 DOI:10.1109/CSO.2012.62

C. Wen, Yung-Yih Lur, Wen-Hsien Ho, J. Chou

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引用次数: 3

摘要

研究具有线性状态约束的二次分数型最优控制问题。这样的问题被称为连续时间二次分数规划问题(CQFP)。给出了参数连续时间二次规划问题的一些基本性质。根据这些性质，(CQFP)可以简化为连续时间二次规划问题。此外，还提出了求解连续时间二次规划问题的离散化方法。该方法将为构建CQFP的参数化计算过程提供重要的基础。

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On Some Properties of Parametric Quadratic Programs Pertaining to Continuous-time Quadratic Fractional Programming

This article is concerned with quadratic fractional optimal control problems with linear state constraints. Such problems are called the {\em continuous-time quadratic fractional programming problems} (CQFP). Some basic properties of parametric continuous-time quadratic programming problems pertaining to (CQFP) are derived. By these properties, (CQFP) can be reduced to continuous-time quadratic programming problems. Besides, a discretization approach for solving continuous-time quadratic programming problems is also developed. The developed approach will provide an important foundation for constructing a parametric computational procedure for (CQFP).

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2012 Fifth International Joint Conference on Computational Sciences and Optimization

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