| 极大代数上线性系统的3维最小实现的研究 |
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| 引用本文： | 张静,张仁忠.极大代数上线性系统的3维最小实现的研究[J].大学数学,2011,27(3):30-35. |
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| 作者姓名： | 张静 张仁忠 |
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| 作者单位： | 通化师范学院,数学系,吉林,通化,134002 |
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| 基金项目： | 吉教科验字[2007]34号 |
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| 摘 要： | 研究了极大代数上线性系统的3维最小实现问题,给出了特征方程为λ<'3> c<,0>λ<'0>=c<,2>λ<'2> c<,1>λ,当c<,1>=c<'2><,2>,c<,0>=C<,1>C<,2>时,无穷序列{g<,2>}<,0><'∞>存在3维最小实现的充要条件.
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| 关 键 词： | 极大代数 最小实现 周期序列 |
On 3-dimensional Minimal Realization in Linear System of Max-algebra |
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| ZHANG Jing,ZHANG Ren-zhong.On 3-dimensional Minimal Realization in Linear System of Max-algebra[J].College Mathematics,2011,27(3):30-35. |
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| Authors: | ZHANG Jing ZHANG Ren-zhong |
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| Affiliation: | ZHANG Jing,ZHANG Ren-zhong (Department of Mathematics,Tonghua Normal College,Tonghua,Jilin 134002,China) |
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| Abstract: | The 3-dimensional minimal realization of linear system in the max-algebra is studied.The necessary and sufficient condition for the existence of 3-dimensional minimal realization of the infinite sequence {gi}∞0 is given,that the characteristic equation of the infinite sequence is λ3c0λ0=c2λ2c1λ,where c1=c22,c0=c1c2. |
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| Keywords: | max-algebra minimal realization periodic sequence |
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