International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 1998
Volume 8 - 1998

Positive solutions to polynomial matrix equations

Tadeusz Kaczorek

Necessary and sufficient conditions are established for the existence of positive solutions to polynomial matrix equations. Two methods are proposed for determination of such solutions. As an example of applications it is shown that the determination of the transfer matrix of a positive controller for a dosed-loop system with a given transfer matrix can be reduced to finding solutions to two suitable polynomial matrix equations.