| 求符号系统函数的新算法：状态空间树法 |
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| 引用本文： | 黄汝激. 求符号系统函数的新算法：状态空间树法[J]. 北京科技大学学报, 1990, 12(4): 356-362 |
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| 作者姓名： | 黄汝激 |
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| 作者单位： | 北京科技大学自动化系 |
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| 摘 要： | 应用LIFO分支-定界搜索法和状态空间树概念,提出了求符号行列式的新算法SSTMSD——行列式的状态空间树法(它是Minty算法的发展和改进);根据它并应用变形图概念提出了求符号系统函数的新算珐SSTMSF——系联函数的状态空间树法。
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| 关 键 词： | 符号系数函数 状态空间树 变形图 |
A New Algorithm for Finding Symbolic System Functions -State Space Tree Method |
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| Huang Ruji. A New Algorithm for Finding Symbolic System Functions -State Space Tree Method[J]. Journal of University of Science and Technology Beijing, 1990, 12(4): 356-362 |
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| Authors: | Huang Ruji |
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| Affiliation: | Department of Automation and Control Engineering |
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| Abstract: | A new algorithm SSTMSD for finding symbolic determinants-----state space tree method for determinants is presented by applying LIFO branch-and-bound search technique and the concept of state space tree (it is the development and improvement of Minty algorithm) . Based on it and by applying the concept of modified graphs, a new algorithm SSTMSF for finding symbolic system functions-state space tree method for system functions is proposed. As compared with the current conventional methods (e. g. signal flow graph method and directed tree method, etc.) , SSTMSF has the following two advantages: (1) Its computing efficiency is higher and its resulted expressions are shorter. (2) The denominator (determinant) and numerator (cofactor) of a symbolic system function can be separately found by repeatedly call the same one procedure SSTMSD.] |
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| Keywords: | symbolic system function state space tree modified graph |
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