一类广义系统LQ问题的解法  

The Solution of LQ Problem for Generalized System

作　　者：张春蕊[1] 

机构地区：[1]东北林业大学

出　　处：《东北林业大学学报》1997年第5期61-65,共5页Journal of Northeast Forestry University

摘　　要：广义系统ＬＱ问题的解法是广义系统理论的一个重要内容本文以矩阵理论为工具，研究了一类广义系统ＬＱ问题的解法。提出了广义系统Ｎ─正则的概念，讨论了一类广义系统ＬＱ问题化为正常状态空间ＬＱ问题的方法。同时，该方法亦适用于广义系统奇异ＬＱ问题。利用系统矩阵给出了广义系统Ｎ─正则的充要条件。给出了广义系统奇异ＬＱ问题化为正常状态空间标准奇异ＬＱ问题的方法，并由此得出结论：对于Ｎ─正则的广义系统ＬＱ问题，无论是否奇异，均可得到状态反馈形式的最优解。The solution of LQ problem for generalized system was very important in theories of generalized system. This thesis based on the theories of matrix, was concerned with the LQ problem for generalized systems. The concept of N-regular was given. The method fo turning the LQ problem for generalized system into the normal Linear system's LQ problem, and this method could also be used in the singular LQ problem for generalized system. The conditions of N-regular were given. The conclusion was obtained. If the generalized system was N-regular, then the LQ problem had optimal solution no matter the problem was non-singular or singular.

关 键 词：正则 广义系统 奇异 矩阵理论 最优解 充要条件 状态反馈 工具 

分 类 号：S513[农业科学—作物学] TP13[自动化与计算机技术—控制理论与控制工程]