Asymptotic estimation of states of linear nonstationary discrete systems (Q2761383)
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scientific article; zbMATH DE number 1683424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic estimation of states of linear nonstationary discrete systems |
scientific article; zbMATH DE number 1683424 |
Statements
18 December 2001
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estimation of states
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detectability
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uniform observation
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canonical form
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asymptotic estimation of states
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linear nonstationary discrete systems
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Lyapunov group
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Asymptotic estimation of states of linear nonstationary discrete systems (English)
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The paper deals with the linear nonstationary discrete system NEWLINE\[NEWLINE x_{t+1} = A_tx_t,\quad y_t = c_tx_t,\tag{1} NEWLINE\]NEWLINE where \(A_t\) and \(c_t\) are the sequences of \((n\times n)\)-matrices and \(n\)-vector-lines. By means of transformations of the Lyapunov group or the generalized Lyapunov group the system (1) is reduced to canonical form. Besides, an the algorithm of control construction is proposed.
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