DocumentCode
2522422
Title
Some properties of generalized Lyapunov equations
Author
Zhang, Weihai ; Chen, Bor-Sen
Author_Institution
Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao, China
fYear
2011
fDate
23-25 May 2011
Firstpage
3137
Lastpage
3141
Abstract
By means of the spectral analysis method, this paper studies a class of generalized Lyapunov equations (GLEs) arising from stochastic stability. A necessary and sufficient condition is given for the existence and uniqueness of the symmetric/skew-symmetric solutions of such GLEs. A sufficient condition for the GLEs have no and have more than one symmetric/skew-symmetric solution is also presented, respectively.
Keywords
Lyapunov methods; generalized Lyapunov equations; skew-symmetric solutions; spectral analysis method; stochastic stability; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Stability analysis; Stochastic systems; Symmetric matrices; Tin; Stochastic systems; generalized Lyapunov equations; operator spectrum; skew-symmetric solution; symmetric solution;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location
Mianyang
Print_ISBN
978-1-4244-8737-0
Type
conf
DOI
10.1109/CCDC.2011.5968795
Filename
5968795
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