Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

Han Ho Choi; Tae Yong Kuc

doi:10.1016/S0005-1098(01)00304-1

Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

Han Ho Choi, Tae Yong Kuc

Department of Electronics & Electrical Engineering

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

In this paper, we propose lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. We give comparisons between the parallel estimates. Finally, we give examples showing that our bounds can be better than the previous results for some cases.

Original language	English
Pages (from-to)	1147-1152
Number of pages	6
Journal	Automatica
Volume	38
Issue number	7
DOIs	https://doi.org/10.1016/S0005-1098(01)00304-1
State	Published - Jul 2002

Keywords

Algebraic Riccati equation
Determinant
Eigenvalue
Lyapunov equation
Trace

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10.1016/S0005-1098(01)00304-1

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title = "Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations",

abstract = "In this paper, we propose lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. We give comparisons between the parallel estimates. Finally, we give examples showing that our bounds can be better than the previous results for some cases.",

keywords = "Algebraic Riccati equation, Determinant, Eigenvalue, Lyapunov equation, Trace",

author = "Choi, {Han Ho} and Kuc, {Tae Yong}",

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KW - Algebraic Riccati equation

KW - Determinant

KW - Eigenvalue

KW - Lyapunov equation

KW - Trace

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JO - Automatica

JF - Automatica

IS - 7

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Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

Abstract

Keywords

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