Weighting pattern (original) (raw)

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A weighting pattern for a linear dynamical system describes the relationship between an input and output . Given the time-variant system described by , then the output can be written as , where is the weighting pattern for the system. For such a system, the weighting pattern is such that is the state transition matrix. The weighting pattern will determine a system, but if there exists a realization for this weighting pattern then there exist many that do so.

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dbo:abstract A weighting pattern for a linear dynamical system describes the relationship between an input and output . Given the time-variant system described by , then the output can be written as , where is the weighting pattern for the system. For such a system, the weighting pattern is such that is the state transition matrix. The weighting pattern will determine a system, but if there exists a realization for this weighting pattern then there exist many that do so. (en) 线性动态系统的加權模式(weighting pattern)是指其輸入和輸出之間的關係。假設以下的時變系統 , 其輸出可以寫成 , 其中是系統的加權模式,對此一系統而言,其加權模式為使得為狀態轉移矩陣。 加權模式可以決定一個系統,不過若存在一個對應加權模式的實現,也就表示會存在許多個可以對應同一加權模式的實現。 (zh)
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dbo:wikiPageWikiLink dbr:Matrix_exponential dbr:Time-variant_system dbr:Linear_dynamical_system dbc:Control_theory dbr:Realization_(systems) dbr:LTI_system dbr:State_transition_matrix
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rdfs:comment A weighting pattern for a linear dynamical system describes the relationship between an input and output . Given the time-variant system described by , then the output can be written as , where is the weighting pattern for the system. For such a system, the weighting pattern is such that is the state transition matrix. The weighting pattern will determine a system, but if there exists a realization for this weighting pattern then there exist many that do so. (en) 线性动态系统的加權模式(weighting pattern)是指其輸入和輸出之間的關係。假設以下的時變系統 , 其輸出可以寫成 , 其中是系統的加權模式,對此一系統而言,其加權模式為使得為狀態轉移矩陣。 加權模式可以決定一個系統,不過若存在一個對應加權模式的實現,也就表示會存在許多個可以對應同一加權模式的實現。 (zh)
rdfs:label Weighting pattern (en) 加權模式 (zh)
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