Model Reduction via Balanced State Space Representations

IEEE Transactions on Automatic Control

Volumn 27, Issue 2, 1982, Pages 382-387

  Pernebo, Lars ^a   Silverman, Leonard M ^b  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DISCRETE TIME;

CONTROL SYSTEMS;

EID: 0020114118     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1982.1102945     Document Type: Article

References (8)

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2. S. Kung, “A new identification and model reduction algorithm via singular value decompositions,” in Proc. 12th Annu. Asilomar Conf. Circuits, Syst., Comput., Nov. 1978.
3. C.T. Mullis and R.A. Roberts. “Synthesis of minimum roundoff noise fixed point digital filters,” IEEE Trans. Circuits, Syst., vol. CAS-23, pp. 551–562.
4. L.M. Silverman and M. Bettayeb. “Optimal approximation of linear systems,” in Proc. JACC, San Francisco, CA, 1980.
5. V.M. Adamjan, D.F. Arov, and M.G. Krein, “Analytic properties of Schmidt parts for a Hankel operator and the generalized Schur-Takari problem,” Math. USSR Lhornik, vol. 15, pp. 31–73, 1971.
6. L. Pernebo and L.M. Silverman. “Balanced systems and model reduction,” in Proc. 18th Conf. Decision Contr., Fort Lauderdale. FL, Dec. 12–16, 1979.
7. E. Heinz, “Beitrage zur störungstheoric der spectralzerbgung,” Math. Ann., vol. 123, pp. 415–438, 1951.
8. E. Jonckheere and L.M. Silverman, “Singular value analysis of deformable systems,” IEEE Conf. Decision Contr., 1981, pp. 660–668.