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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1980 Volume 113(155), Number 1(9), Pages 146–160 (Mi sm2784)

This article is cited in 1 paper

Stability of mappings of Hilbert space and equivalence of controlled systems

A. V. Sarychev


Abstract: In this paper methods of the theory of singularities of smooth mappings (catastrophe theory) are applied to the study and classification of nonlinear controlled systems. The notion of equivalence of controlled systems is introduced and sufficient conditions for first and second order definiteness of such equivalence are obtained.
Bibliography: 3 titles.

UDC: 517.97

MSC: Primary 34H05, 93C15; Secondary 45G10

Received: 05.03.1980


 English version:
Mathematics of the USSR-Sbornik, 1982, 41:1, 127–138

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