Algebraic theory of discrete optimal control for multivariable systems [I.]
Vladimír Kučera (1974)
Kybernetika
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Vladimír Kučera (1974)
Kybernetika
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Wojciech Hunek, Krzysztof Latawiec (2009)
Control and Cybernetics
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Michael Šebek (1983)
Kybernetika
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Peter Hippe (1991)
Kybernetika
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Krzysztof Latawiec (2005)
Control and Cybernetics
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Tadeusz Kaczorek (2003)
International Journal of Applied Mathematics and Computer Science
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Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.