DocumentCode
2418554
Title
Calculating eigenvalues and eigenfunctions of hyperbolic systems
Author
Erickson, M.A. ; Laub, A.J. ; Smith, R.S.
Author_Institution
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fYear
1992
fDate
1992
Firstpage
145
Abstract
The calculation of eigenvalues and eigenfunctions of a class of normal operators associated with hyperbolic PDEs (partial differential equations) for which no closed-form solution to the eigenproblem is known is considered. An inverse power method is applied to this problem; it is constructed so that all calculations remain real even though the eigenvalues are imaginary. An example illustrates the practical application of the method
Keywords
eigenvalues and eigenfunctions; partial differential equations; eigenfunctions; eigenvalues; hyperbolic systems; inverse power method; normal operators; partial differential equations; Closed-form solution; Control systems; Distributed control; Distributed parameter systems; Eigenvalues and eigenfunctions; Hilbert space; Partial differential equations; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location
Tucson, AZ
Print_ISBN
0-7803-0872-7
Type
conf
DOI
10.1109/CDC.1992.371772
Filename
371772
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