On a discrete model of an unstationary linear system
Theoretical and applied mechanics, Tome 2 (1976) no. 1, p. 85
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The paper considers the motion of a system whose state can be represented by the equations
\[
\dot x=A(t)x+B(t)u
\]
Here it is shown how the approximate method for determining the fundamental matrix can be used to find the matrix $E(t_k)$ and $F(t_k)$ in discrete models
\[
x(t_{k+1})=E(t_k)x(t_k)+F(t_k)u(t_k).
\]