On some bounds in the algebraic Riccati and Lyanupov equations

1 February 1985

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 30 (2) , 162-164
https://doi.org/10.1109/tac.1985.1103913

Abstract

Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented. These bounds give information on "mean size" of the solution to the equations in a simple way. The obtained determinant bound for the Lyapunov equation shows the improvement over the previously reported one.

Keywords

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