| 非齐次线性系统状态的收敛性质 |
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| 引用本文： | 陈万义. 非齐次线性系统状态的收敛性质[J]. 天津科技大学学报, 2003, 0(Z1) |
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| 作者姓名： | 陈万义 |
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| 作者单位： | 南开大学数学科学学院 天津 |
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| 基金项目： | 国家自然科学基金(69974022) |
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| 摘 要： | 用泛函分析方法讨论了(连续时间/离散时间)非齐次线性系统的收敛性质,该结果可用于处理经济控制论中的许多宏微观经济的线性系统模型,因此具有一定的实际意义。另外,针对带有锥有界非齐次项的不确定线性系统,也讨论了其全局渐进稳定性,给出一个有趣结果。
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| 关 键 词： | 线性系统 非齐次 状态 Banach空间 |
ON CONVERGENT PROPERTIES FOR STATES OF NON-HOMOGENEOUS LINEAR SYSTEMS |
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| CHEN Wan-yi College of Mathematical Science,Nankai University,Tianjin ,China. ON CONVERGENT PROPERTIES FOR STATES OF NON-HOMOGENEOUS LINEAR SYSTEMS[J]. Journal of Tianjin University of Science & Technology, 2003, 0(Z1) |
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| Authors: | CHEN Wan-yi College of Mathematical Science Nankai University Tianjin China |
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| Affiliation: | CHEN Wan-yi College of Mathematical Science,Nankai University,Tianjin 300071,China |
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| Abstract: | In this paper, via some technique from functional analysis, convergent properties for thestates of non-homogeneous linear systems are discussed, which are applicable to many linear systemmodels in economic control theory. Thus, the results here are of some practical value. Moreover,for (uncertain) linear systems with the non-homogeneous term being cone-bounded, their globallyasymptotic stability is also discussed. On this, an interesting result is given. |
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| Keywords: | Linear systems non-homogeneous state Banach space |
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