×

Uniform approximation of systems: A Banach space approach. (English) Zbl 0247.93003


MSC:

93A15 Large-scale systems
93B03 Attainable sets, reachability
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] McBride, L. E., Schafgen, H. W., andSteiglitz, K.,Time-Domain Approximation by Iterative Methods, IEEE Transactions on Circuit Theory, Vol. 16, No. 4, 1966.
[2] Mitra, D.,On the Reduction of Complexity of Linear Dynamic Models, UK Atomic Energy Authority, Report No. AEEW-R520, 1967. · Zbl 0146.46302
[3] Davison, E. J.,A Method for Simplifying Linear Dynamic Systems, IEEE Transactions on Automatic Control, Vol. 10, No. 1, 1966.
[4] Heffes, H., andSarachik, P. E.,Uniform Approximation of Linear Systems, The Bell System Technical Journal, Vol. 48, No. 1, 1969. · Zbl 0165.10202
[5] Donati, F., andMilanese, M.,System Identification with Approximated Models, 2nd IFAC Symposium on Identification and Process Parameter Estimation, Prague, Czechoslovakia, 1970.
[6] Donati, F., Approssimazione di Sistemi Lineari in Spazi Normati, XI International Automation and Instrumentation Conference, FAST, Milano, Italy, 1970.
[7] Geymonat, G.,Generalit? sull’ Approssimazione degli Operatori negli Spazi di Banach, Seminari di Analisi, Politecnico di Torino, No. 8, 1969.
[8] Aubin, J. P.,Approximation des Espaces des Distributions et des Op?rateurs Diff?rentiels, M?moires de la Soci?t? Math?matique de France, Vol. 15, No. 12, 1967.
[9] Milanese, M.,Identification of Uniformly Approximating Models of Systems, Ricerche di Automatica, Vol. 2, No. 2, 1971.
[10] Singer, I.,Bases in Banach spaces, I, Springer-Verlag, Berlin, Germany, 1970. · Zbl 0198.16601
[11] Kato, T.,Equazioni Differenziali Astratte, Corso CIME, Varenna, Edizioni Cremonese, Roma, Italy, 1963.
[12] Negro, A.,Formulazione Generalizzata delle Equazioni di Evoluzione, Seminari di Analisi, Politecnico di Torino, No. 13, 1969.
[13] Lions, J. L.,Contr?le Optimal de Syst?mes Gouvern?s par des ?quations aux D?riv?es Partielles, Dunod-Gauthier-Villars, Paris, France, 1968.
[14] Schwartz, L., Analyse Math?matique, Vol. I, Hermann, Paris, France, 1967. · Zbl 0171.01301
[15] Menga, G., Controllo di Sistemi Complessi Approssimati in Norma, XI International Automation and Instrumentation Conference, FAST, Milano, Italy, 1970.
[16] Menga, G., andMilanese, M.,Control of Systems in Presence of Uncertainty in Norm, VI International Summer School of Electronics and Automation, Herceg Novi, Yugoslavia, 1971.
[17] Negro, A.,Min-Max Optimal Control of Systems Approximated by Finite-Dimensional Models: Nonquadratic Cost Functional, Journal of Optimization Theory and Applications, Vol. 12, No. 2, 1973. · Zbl 0247.49003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.