DocumentCode :
2405120
Title :
Numerical linear algebra techniques for large scale matrix problems in systems and control
Author :
Van Dooren, Paul
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
fYear :
1992
fDate :
1992
Firstpage :
1933
Abstract :
The author discusses a number of numerical linear algebra techniques for large scale problems in systems and control. Attention is focused on special matrix-problems, i.e. matrices which are either sparse, patterned or structured. The topics considered all point to the significant role linear algebra problems play in the control, optimization and model reduction of multivariable linear systems. The individual topics discussed all pertain to the common problem of designing low-order robust controllers for large scale plants, and the techniques are closely related
Keywords :
control system analysis; control system synthesis; large-scale systems; linear algebra; linear systems; matrix algebra; multivariable control systems; optimal control; state-space methods; transfer functions; Riccati equations; large scale matrix problems; large scale plants; low-order robust controllers; model reduction; multivariable linear systems; numerical linear algebra techniques; optimization; patterned matrices; sparse matrices; state space projections; structured matrices; transfer functions; Control systems; Eigenvalues and eigenfunctions; Finite element methods; Large-scale systems; Linear algebra; Linear systems; Reduced order systems; Riccati equations; Robust control; Sparse matrices; State-space methods; Transfer functions;
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.1992.371094
Filename :
371094
Link To Document :
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