References
- AL— SAGGAK , U. M. , 1986 , On model reduction and control of discrete— time systems . Ph.D.dissertation , Information Systems Laboratory, Department of Electrical Engineering , Stanford University ; l992a, Approximately balanced— truncation model reduction ofweakly coupled systems. International Journal of Control, 56, 263–1273; 1992b,subsystem interconnection and near optimum control of discrete balanced systems.IEEE Transactions on Automatic Control , 37 , 1026 – 1033 .
- AL— SAGGAF , U. M. , FRANKLIN . G. F. , 1987 , An error bound for a discrete reduced ordermodel of a linear multivariable system . IEEE Transactions on Automatic Control , 32 ( 9 ), 815 – 819 .
- BELLOCH , P. A. , MINGORI . D. L ., WEI . J. D. , 1987 , Perturbation analysis of internalbalancing for lightly damped mechanical systems with gyroscopic and circulatoryforces . AIAA Journal of Guidance and Control , 10 , 406 – 410 .
- GAHINI— T, P. , LAUB . A. J. , KENNEY . C. S ., HEWER . G. , 1990 , Sensitivity of the stablediscrete— time Lyapunov equation . IEEE Transactions on Automatic Control , 35 , 1209 – 1217 .
- GRAHAM , A. 1981 Kronecker products and matrix computations , second edition ( JohnsHopkins University Press ).
- JOCKHEERE . E. A . 1984 , Principal component analysis of flexible systems— open loop case . IEEE Transactions on Automatic Control . 29 , 1095 – 1097 .
- JOCKHEERE . E. A ., and OPENDENACKER , P. 1984 , Singular value analysis, balancing and modelreduction of large space structures . Proceedings of the American Control Conference .
- JONCKHEERE . E. A. , and SILVERMAN , L. M. , 1982 , Singular value analysis of deformable systems . Circuits, Systems and Signal Processing ,Vol. 1 ( Boston, Massachusetts , U.S.A Birk— h a user ).
- KOKOTOVIC , P. V. , 1972 , Feedback design of large— scale linear systems . Feedback Systems , edited by J. B. Cruz, Jr ( New York McGraw— Hill ), pp. 99 – 137 .
- KOKOTOVIC , P. V. , PERKINS , W. R. , CRUZ . B. J ., DANS , G . 1969 , e— coupling method fornear— optimum design of large— scale linear systems . Proceedings of the Institution of Electrical Engineers , 116 , 889 – 892 .
- LAUB , A. J. , HEATH , M. T . PAIGE . C . CWARD , R. C , 1987 . Computation of systembalancing transformations and other applications simultaneous diagonalizattonalgorithms. IEEE Transactions on Automatic Control , 32 , 115 – 121 .
- ZAHAMOUD , M. S . SINGH . M. G. , 1985 , Large scale systems modelling . InternationalSeries on Systems and Control , Vol. 3 ( Pergamon Press ).
- PI— RNEBO L , SILVERMAN , L. M. , 1982 , Model reduction via balanced state spacerepresentations . IEEE Transactions on Automatic Control , 27 , 382 – 387 .
- SAEONOV , M. G. , and CHIANG , R. Y. , 1989 , A Schur method for balanced— truncation modelreduction . IEEE Transactions on Automatic Control, 34 , 729 – 733 .
- TROULLINOS , G. , and DORSEY , F. J. , 1985 , Application of balanced realizations to power system equivalents . IEEE Transactions on Automatic Control , 30 , 414 – 416 .