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Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices - MaRDI portal

Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices (Q2368666)

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Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices
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    Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices (English)
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    28 April 2006
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    A non-autonomous delayed matrix difference equation is considered. Under conditions on the matrix coefficients, an explicit formula is presented for the solution of the initial-value problem.
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    Discrete system
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    Initial problem
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    Discrete matrix delayed exponential
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    delayed matrix difference equation
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    initial-value problem
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