期刊文献+

非线性DEDS的标准结构 被引量:1

Canonical structure of nonlinear discrete event dynamic systems
下载PDF
导出
摘要 非线性DEDS是指由极大极小函数描述的系统,常见于计算机科学、控制论、运筹学等领域,考虑非自治非线性DEDS的结构问题,通过引入白色图和凝白色图,得到了系统能达和能观的两个充要条件以及系统的标准结构,同时还给出了它们的矩阵表示。 The nonlinear discrete event dynamic systems (DEDS) are the systems described by min-max functions, and commonly exist in computer science, control theory, operations research, etc. Structure problems of nonautonomous and nonlinear discrete event dynamic systems are considered, and some new results which lay some foundations of control theory of nonlinear discrete event dynamic systems are described. By constructing the white graph and white condensation, the canonical structure and two necessary and sufficient conditions for reachability and observability are obtained, and their matrix representations are given.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第3期403-406,共4页 Control Theory & Applications
基金 国家自然科学基金(69874040) 国家攀登计划资助项目
关键词 非线性DEDS 标准结构 白色图 凝白色图 能达能观性 控制论 nonlinear discrete event dynamic systems white graph canonical structure reachability and observability
  • 相关文献

参考文献8

  • 1陈文德.非线性DEDS的能达性[J].控制理论与应用,1999,16:67-72.
  • 2陈文德.非线性DEDS的周期时间配置与凝着色图[A].张嗣瀛主编.2001中国控制与决策学术年会论文集[C].沈阳:东北大学出版社,2001.699—705.
  • 3陶跃钢,陈文德.非线性DEDS的能观性与极小元矩阵[J].系统工程理论与实践,2000,20(10):53-59. 被引量:2
  • 4OLSDER G J. Eigenvalues of dynamic max-min systems [J]. Discrete Event Dynamic Systems, 1991,1(2) : 177- 207.
  • 5GUNAWARDENA J. Min-max functions [ J ]. Discrete Event Dynamic Systems, 1994,4(3) :377 - 406.
  • 6GAUBERT S, GUNAWARDENA J. The duality theorem for minmax functions [ J ]. Cotrtptes Rendus Academy of Science, 1998, 326(1):43-48.
  • 7CHEN Wende (Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100080, China).CYCLE TIMES ASSIGNMENT OF NONLINEAR DISCRETE EVENT DYNAMIC SYSTEMS[J].Systems Science and Mathematical Sciences,2000,13(2):213-218. 被引量:9
  • 8Wende Chen,Yuegang Tao.Observabilities and reach-abilities of nonlinear DEDS and coloring graphs[J].Chinese Science Bulletin,2001,46(8):642-644. 被引量:4

二级参考文献7

  • 1Chen W,Proceedings of the Intelligent Systems and ControlConference Santa Barbara,1999年
  • 2陈文德,控制理论与应用,1999年,16卷,增刊,69页
  • 3陈文德,离散事件动态系统.极大代数方法,1994年
  • 4Zhang Mei,Proceedings of DES’91,1991年,267页
  • 5Jeremy Gunawardena. Min-max functions[J] 1994,Discrete Event Dynamic Systems: Theory and Applications(4):377~407
  • 6Geert Jan Olsder. Eigenvalues of dynamic max-min systems[J] 1991,Discrete Event Dynamic Systems(2):177~207
  • 7CHI Cai\|xia,\ WU Shi\|quan,\ WANG Jian\|fang Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China.A Multipath Routing Assignment Model for Multi-Traffic Class Networks[J].Systems Science and Systems Engineering,2000,10(2):236-244. 被引量:1

共引文献12

同被引文献7

  • 1陈文德.非线性DEDS的能达性[J].控制理论与应用,1999,16:67-72.
  • 2Olsder G J. Eigenvalues of dynamics max-min systems [J]. Discrete Event Dynamic Systems, 1991,1 (2) : 177- 207.
  • 3Gunawardana. Min-max functions[J]. Discrete Event Dynamics max-min Systems,1994,4(3):377-406.
  • 4Gaubrrt S. Gunawardana J. The duality theorem for rain-max functions [J]. Comptes Rendus Academy of Sciences, 1998,326(1) :43-48.
  • 5Chen Wende. Cycle time assignment of nonlinear Discrete event dynamics max-min systems[J]. Systems Science and Mathematical Science,2000.13(2):213-218.
  • 6Chen Wende, Tao yuegang. Obsvabilities and reachabilities of nonlinear DEDS and coloring graphs[J]. Chinese Bulletin,2000,13(2):213-218.
  • 7Tao yuegang, Liuguoping. State feedback stabilization and majorizing achievement of Min-Max-Plus systems[J]. IEEE Transactions on Automatic Control, 2005,50 (1): 2027-2033.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部