Inversion of linear dynamical systems in the presence of additive noise

被引:0
作者
A. V. Il’in
S. K. Korovin
V. V. Fomichev
机构
[1] Moscow State University,
来源
Differential Equations | 2009年 / 45卷
关键词
Additive Noise; Full Rank; Inversion Algorithm; Linear Dynamical System; Inversion Problem;
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学科分类号
摘要
We consider the problem of inversion of a stationary dynamical system (i.e., the generation of an estimate of the unknown output signal on the basis of the known output signal) in the presence of an unknown perturbation acting “not in the same channel” as the input to be estimated. We present necessary and sufficient conditions for the inversion of such systems and suggest inversion algorithms.
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页码:1645 / 1652
页数:7
相关论文
共 28 条
[1]  
Il’in A.V.(1997)Algorithms for the Inversion of Linear Scalar Dynamical Systems: the Controlled Model Method Differ. Uravn. 33 329-339
[2]  
Korovin S.K.(1997)The Controllable Model Method in Problems of the Inversion of Dynamical Systems Dokl. Akad. Nauk 354 171-173
[3]  
Fomichev V.V.(1997)Algorithms for the Inversion of Linear Control Systems Differ. Uravn. 34 744-750
[4]  
Korovin S.K.(1998)Robust Inversion of Vector Linear Systems Differ. Uravn. 34 1478-1486
[5]  
Il’in A.V.(1998)Robust Inversion of Controlled Linear Systems Dokl. Akad. Nauk Teor. Upravl. 356 121-123
[6]  
Fomichev V.V.(2007)Zero Dynamics of Linear Vector Stationary Systems Dokl. Akad. Nauk Teor. Upravl. 414 598-604
[7]  
Il’in A.V.(2005)Synthesis of Asymptotic Observers for Uncertain Vector Linear Systems Differ. Uravn. 41 73-81
[8]  
Korovin S.K.(2009)Synthesis of Minimal Linear Stabilizers Differ. Uravn. 45 675-685
[9]  
Fomichev V.V.(2009)Synthesis of Robust Inverters of Minimal Order Differ. Uravn. 45 575-585
[10]  
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