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Upper and lower matrix bounds of the solutions for the continuous and discrete Lyapunov equations

โœ Scribed by Chien-Hua Lee; Fan-Chu Kung

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
291 KB
Volume
334
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

This paper proposes new two-sided matrix bounds of the solution for the continuous and discrete algebraic matrix Lyapunov equations. The coefficient matrix of the Lyapunov equation is assumed to be diayonalizable. The present matrix bounds can give a supplement to those results reported in the literature.

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โœ Richard Davies; Peng Shi; Ron Wiltshire ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

In this note, we present upper matrix bounds for the solution of the discrete algebraic Riccati equation (DARE). Using the matrix bound of Theorem 2.2, we then give several eigenvalue upper bounds for the solution of the DARE and make comparisons with existing results. The advantage of our results o