A Complete Algebraic Solvability Test for theNonstrict Lyapunov

@inproceedings{Scherer1995ACA,
title={A Complete Algebraic Solvability Test for theNonstrict Lyapunov},
author={InequalityCarsten W. Scherer},
year={1995}
}

InequalityCarsten W. Scherer

Published 1995

For arbitrary equally sized square complex matrices A and Q (Q Hermitian), the paper provides a complete algebraic test for verifying the existence of a Hermitian solution X of the nonstrict Lyapunov inequality A X + XA + Q 0: If existing, we exhibit how to construct a solution. Our approach involves the validation problem for the linear matrix inequality P k j=1 (A j X j B j + B j X j A j) + Q > 0 in X j , for which we provide an algebraic solvability test and a procedure to construct… CONTINUE READING