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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/37599

Title: Solutions of Generalized Discrete-Time Lyapunov Equations
Authors: Chee-Fai Yung
Jungkai Alfred Chen
Po-Feng Wu
Contributors: 國立臺灣海洋大學:電機工程學系
Keywords: difference-algebraic equations
linear discrete-time descriptor systems
generalized discrete-time Lyapunov equations
matrix pencils
Date: 2013-07
Issue Date: 2016-03-28T07:42:09Z
Publisher: chinese control conference
Abstract: Abstract: This paper investigates a constrained generalized discrete-time Lyapunov equation (GDLE). It is shown that the
constrained GDLE admits a (hermitian) solution if and only if the underlying pencil is admissible and some augmented simplectic
pencil has the complementarity property. Explicit formulae, expressed in terms of the eigenstructures of the underlying pencil
and the augmented simplectic pencil, for all solutions of the constrained GDLE are derived. A numerical example is also given
for illustration.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/37599
Appears in Collections:[電機工程學系] 期刊論文

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