线性高阶矩形微分矩阵控制系统的幂级数解

2009 17th Mediterranean Conference on Control and Automation Pub Date : 2009-06-24 DOI:10.1109/MED.2009.5164562

A. Pantelous, A. D. Karageorgos, G. Kalogeropoulos

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引用次数: 6

摘要

本文研究线性高阶矩形微分矩阵系统的解，这类系统在最优控制理论和滤波控制理论的许多应用中都出现过。采用经典的幂级数法求解线性高阶矩形(奇异)微分矩阵方程的解析解。本文给出了用幂级数法求解线性奇异矩阵系统的一些初步结果。

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Power series solutions for linear higher order rectangular differential matrix control systems

This paper is concerned with the solution of linear higher order rectangular differential matrix systems which are appeared in many applications of optimal and filtering control theory. The classical power series method is employed to obtain the analytic solution of linear higher order rectangular (singular) differential matrix equations. In the present paper, the authors provide some preliminary results for solving linear singular matrix systems with the power series approach.

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2009 17th Mediterranean Conference on Control and Automation

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