NDLI: The estimation and existence conditions of the solution for the perturbed continuous time algebraic Lyapunov equation

Content Provider	IEEE Xplore Digital Library
Author	Dong-yan Chen Hai-yun Bi
Copyright Year	2008
Description	Author affiliation: Dept. of Appl. Math., Harbin Univ. of Sci. & Technol., Harbin (Dong-yan Chen; Hai-yun Bi)
Abstract	In this paper, the estimation problem of the solution matrix about the perturbed continuous time algebraic Lyapunov equation (PCTALE) is discussed. The estimation of upper and lower bounds of the solution matrix to the equation under a certain uncertainty assumption are presented by applying the calculation properties of matrix and some inequalities, and the estimation results are given by continuous time algebra Riccati equations(CTARE) or inequalities. At the same time, some existence conditions of symmetric positive definite matrix solution are shown for PCTALE. Finally, the effectiveness of parts of the results is shown by an example.
Starting Page	5526
Ending Page	5529
File Size	117248
Page Count	4
File Format	PDF
ISBN	9781424421138
DOI	10.1109/WCICA.2008.4593830
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Symmetric matrices Mathematical model Estimation Artificial neural networks Uncertainty Linear matrix inequalities continuous time algebra Riccati equation (CTARE) perturbed continuous time algebraic Lyapunov equation (PCTALE) uncertainty solution matrix matrix bound
Content Type	Text
Resource Type	Article

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