Asymptotic unboundedness of the norms of delayed matrix sine and cosine

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článek v časopise v databázi Web of Science
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The asymptotic properties of recently defined special matrix functions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved. To derive this result, a formula is used connecting them with what is called delayed matrix exponential with asymptotic properties determined by the main branch of the Lambert function.

Klíčová slova
FUNCTIONAL-DIFFERENTIAL EQUATIONS
PAIRWISE PERMUTABLE MATRICES
LINEAR PARTS
REPRESENTATION
SYSTEMS