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二维广义系统Roesser模型局部能达和局部能控性
引用本文:亢京力,唐万生. 二维广义系统Roesser模型局部能达和局部能控性[J]. 系统工程学报, 2006, 21(4): 347-352
作者姓名:亢京力  唐万生
作者单位:1. 天津大学系统工程研究所,天津,300072;天津财经大学数学系,天津,300222
2. 天津大学系统工程研究所,天津,300072
基金项目:国家自然科学基金资助项目(70471049)
摘    要:研究了二维广义系统Roesser模型的性质,推导出了该系统的状态响应公式.给出了其在矩形区域上局部能达和局部能控的充分必要条件.同时,利用二维Z变换理论,给出了二维广义系统Roesser模型局部能达和局部能控的等价定义,并得出该模型相应的局部能达和局部能控的新的充分必要条件.

关 键 词:二维广义系统  响应公式  局部能达  局部能控
文章编号:1000-5781(2006)04-0347-06
收稿时间:2004-09-24
修稿时间:2004-09-242006-04-27

Local reachability and local controllability in Roesser model of two-dimensional singular systems
KANG Jing-li,TANG Wan-sheng. Local reachability and local controllability in Roesser model of two-dimensional singular systems[J]. Journal of Systems Engineering, 2006, 21(4): 347-352
Authors:KANG Jing-li  TANG Wan-sheng
Affiliation:1. Institute of Systems Engineering, Tianjin University, Tianjin 300072, China; 2. Department of Mathematics, Tianjin University of Finance and Economies, Tianjin 300222, China
Abstract:In this paper,some properties in the Roesser model of two-dimensional singular systems are investigated.The response formula of this model is derived.The sufficient and necessary conditions for local reachability and local controllability in the rectangle are presented.Simultaneously,the equivalent definitions of local reachability and local controllability in the Roesser model of the two-dimensional singular systems are given by using the theory of two-dimensional Z transformation.The new sufficient and necessary conditions for local reachability and local controllability of this model are presented.
Keywords:two-dimensional singular systems  response formula  local reachability  local controllability
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