Abstract
This paper is concerned with the approximation of complex dynamical systems by simple models. A min-max approach is taken, when input and initial conditions run over given admissible sets. Methods for evaluating suitable functionals to be minimized by theoptimal model are developed. The existence of an element ofbast approximation is prooved for a large class of problems. The homogeneous case in Hilbert spaces is investigated in more detail.
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Communicated by R. Conti
This work was supported in part by CNR (Consiglio Nazionale delle Ricerche).
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Milanese, M., Negro, A. Uniform approximation of systems: A Banach space approach. J Optim Theory Appl 12, 203–217 (1973). https://doi.org/10.1007/BF00934818
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DOI: https://doi.org/10.1007/BF00934818