Positive Matrix Representations of Rational Positive Real Functions of Several Variables
DOI:
https://doi.org/10.15407/mag20.02.172Анотація
Раціональну однорідну (першого степеня) позитивну дійсну матричну функцію кількох змінних можна зобразити як доповнення Шура до діагонального блоку лінійної однорідної матричної функції з невід'ємно визначеними дійсними матричними коефіцієнтами (довго-резольвентне зображення). Чисельники частинних похідних позитивної дійсної функції є сумами квадратів многочленів.
Mathematical Subject Classification 2020: 32A08, 47A56, 94C05
Ключові слова:
позитивна дiйсна функцiя, матричнозначна функцiя, доповнення Шура, довго-резольвентне зображення, сума квадратiвПосилання
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