Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation

Ai-Guo Wu; Gang Feng; Junqiang Hu; Guang-Ren Duan

doi:10.1016/j.amc.2009.04.011

Author(s)

Ai-Guo Wu
Gang Feng
Junqiang Hu
Guang-Ren Duan

Detail(s)

Original language	English
Pages (from-to)	442-450
Journal / Publication	Applied Mathematics and Computation
Volume	214
Issue number	2
Publication status	Published - 15 Aug 2009

Link(s)

DOI	DOI https://doi.org/10.1016/j.amc.2009.04.011 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-67649199012&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(069112a8-7c59-412b-8c99-06eabba1b1ef).html

Abstract

Some closed-form solutions are provided for the nonhomogeneous Yakubovich-conjugate matrix equation X - A over(X, -) F = BY + R with X and Y being unknown matrices. The presented solutions can offer all the degrees of freedom which is represented by an arbitrarily chosen parameter matrix. The primary feature of the solutions is that the matrices F and R are not restricted to be in any canonical form, or may be even unknown a priori. One of the solutions is neatly expressed in terms of controllability matrices and observability matrices. © 2009 Elsevier Inc. All rights reserved.

Research Area(s)

Closed-form solution, Controllability matrix, Observability matrix, Parametric expression, Smith normal form, Yakubovich-conjugate matrix equation

Citation Format(s)

[ RIS ] [ BibTeX ]

Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation. / Wu, Ai-Guo; Feng, Gang; Hu, Junqiang; Duan, Guang-Ren.

In: Applied Mathematics and Computation, Vol. 214, No. 2, 15.08.2009, p. 442-450.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Wu, A-G, Feng, G, Hu, J & Duan, G-R 2009, 'Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation', Applied Mathematics and Computation, vol. 214, no. 2, pp. 442-450. https://doi.org/10.1016/j.amc.2009.04.011

Wu, A-G., Feng, G., Hu, J., & Duan, G-R. (2009). Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation. Applied Mathematics and Computation, 214(2), 442-450. https://doi.org/10.1016/j.amc.2009.04.011

Wu A-G, Feng G, Hu J, Duan G-R. Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation. Applied Mathematics and Computation. 2009 Aug 15;214(2):442-450. https://doi.org/10.1016/j.amc.2009.04.011

Wu, Ai-Guo ; Feng, Gang ; Hu, Junqiang ; Duan, Guang-Ren. / Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation. In: Applied Mathematics and Computation. 2009 ; Vol. 214, No. 2. pp. 442-450.