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
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371772
