Computation of the set of positive solutions to polynomial matrix equations
Tadeusz Kaczorek , Rafał Łopatka
AbstractNecessary and sufficient conditions are established for the existence of positive solutions to polynomial diophatine equations. A method for computation of the set of positive solutions to polynomial diophatine equation based on extreme points and extreme directions is proposed. The effectiveness of the method is demonstrated on a numerical example. Copyright (C) 2000 IFAC.
|Book||Kucera V, Sebek M (eds.): ROBUST CONTROL DESIGN 2000, VOLS 1 & 2, IFAC SYMPOSIA SERIES, vol. 1-2, 2000, THE BOULEVARD, LANGFORD LANE,, KIDLINGTON OX5 1GB, OXFORD, ENGLAND, PERGAMON-ELSEVIER SCIENCE LTD, ISBN 0-08-043249-2|
|Keywords in English||matrix polynomial equations; polynomial models; convex programming; algorithms|
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