| 线性连续衰退记忆系统的可分性 |
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| 引用本文： | 张传义,武女则.线性连续衰退记忆系统的可分性[J].系统科学与数学,2007,27(2):293-301. |
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| 作者姓名： | 张传义 武女则 |
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| 作者单位： | 1. 哈尔滨工业大学数学系,哈尔滨,150001
2. 天津外国语学院基础课教学部,天津,300204 |
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| 摘 要： | 为逼近建模和辨识问题的需要,讨论线性时变连续有界输入有界输出稳定衰退记忆系统的不同子类．从衰退记忆系统的子类包括概周期系统,渐近周期系统,渐近强周期系统,找到了LTV系统的可分子空间即渐近强周期系统．
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| 关 键 词： | 衰退记忆 渐近周期 渐近强周期 |
| 修稿时间： | 2004年6月16日 |
Separability of Linear Continuous Fading Memory Systems |
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| Zhang Chuanyi,Wu Nüze.Separability of Linear Continuous Fading Memory Systems[J].Journal of Systems Science and Mathematical Sciences,2007,27(2):293-301. |
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| Authors: | Zhang Chuanyi Wu Nüze |
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| Institution: | (1)Department of Mathematics, Harbin Institute of Technology, Harbin 150001;(2)Department of Mathematics, Harbin Institute of Technology, Harbin 150001 |
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| Abstract: | Motivated by problems from approximate modeling and identification,we con- sider various classes of linear continuous time-varying bounded input-bounded output(BIBO) stable fading memory systems.These include fading memory systems,in general,almost pe- riodic systems,asymptotically periodic systems and asymptotically strong periodic systems. And we find that asymptotically strong periodic systems are the only separable subspace of LTV systems. |
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| Keywords: | Fading memory asymptotically periodic asymptotically strong periodic |
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