Gauss sums and the number of solutions to the matrix equation over
Philip Buckhiester (1973)
Acta Arithmetica
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Gauss sums and the number of solutions to the matrix equation over
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A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.