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极小-极大-加系统(F,G,H)的标准结构

Canonical Structure of Min-Max-Plus (F,G,H) Systems
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摘要 考虑极小-极大-加系统(F,G,H)的标准结构问题,通过引入白色图和凝白色图,得到了系统标准结构,同时还给出它们矩阵表示. The canonical structure of min-max-plus is investigated in this paper. By constructing the white graph and white condensation, the canonical structure can be obtained, and its matrix representations are given.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第12期91-96,共6页 Mathematics in Practice and Theory
关键词 离散事件动力系统(DEDS)白色图 标准结构 能达和能观性 Discrete Event Dynamic Systems white graph canonical structure reachability and observability
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参考文献8

  • 1Olsder G J. Eigenvalues of dynamics max-min systems [J]. Discrete Event Dynamic Systems, 1991,1 (2) : 177- 207.
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  • 4Chen Wende. Cycle time assignment of nonlinear Discrete event dynamics max-min systems[J]. Systems Science and Mathematical Science,2000.13(2):213-218.
  • 5陈文德.非线性DEDS的能达性[J].控制理论与应用,1999,16:67-72.
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  • 8陶跃钢,陈文德.非线性DEDS的标准结构[J].控制理论与应用,2003,20(3):403-406. 被引量:1

二级参考文献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.
  • 3OLSDER G J. Eigenvalues of dynamic max-min systems [J]. Discrete Event Dynamic Systems, 1991,1(2) : 177- 207.
  • 4GUNAWARDENA J. Min-max functions [ J ]. Discrete Event Dynamic Systems, 1994,4(3) :377 - 406.
  • 5GAUBERT S, GUNAWARDENA J. The duality theorem for minmax functions [ J ]. Cotrtptes Rendus Academy of Science, 1998, 326(1):43-48.
  • 6Wende 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
  • 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
  • 8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

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