Title :
Stable partial realizations via an implicitly restarted Lanczos method
Author :
Grimme, Eric ; Sorensen, Dan ; Dooren, Paul Van
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
fDate :
29 June-1 July 1994
Abstract :
The nonsymmetric Lanczos method has recently received attention as a model reduction technique for large-scale systems. However, the Lanczos method may generate an unstable partial realization for a given stable system. To remedy this situation, inexpensive implicit restarts are developed to stabilize a Lanczos generated model.
Keywords :
control system analysis; large-scale systems; reduced order systems; stability; SISO systems; implicitly restarted Lanczos method; large-scale systems; model reduction; stability; stable partial realizations; Chemical processes; Contracts; Costs; Equations; Large-scale systems; Mathematics; Military computing; Reduced order systems; Sparse matrices; State-space methods;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.735081
