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A structure-preserving Lanczos-type algorithm with application to control problems

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3 Author(s)
Ferng, W.R. ; Dept. of Appl. Math., Nat. Chiao Tung Univ., Hsinchu, Taiwan ; Wen-Wei Lin ; Chern-Shuh Wang

A Hamiltonian structure-preserving Lanczos-type method, named the J-Lanczos algorithm, is introduced for solving large sparse Hamiltonian eigenvalues problem which arises in both continuous-time and discrete-time optimal control applications. Shift and invert techniques are incorporated to approximate all stable eigenvalues and the associated invariant subspace. Numerical results for solving high order continuous-time Riccati equation arising from position and velocity control for a string of high speed vehicles are presented

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:4 )

Date of Conference:

10-12 Dec 1997

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