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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 7, Pages 1098–1107 (Mi zvmmf10747)

Affine controlled systems and $t$-systems of Pfaffian equations

V. I. Elkin

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia

Abstract: The relation between the classical theory of Pfaffian systems and the modern theory of controlled systems is discussed. It is shown that this relation helps solve classification problems and terminal control problems for controlled systems.

Key words: Pfaffian systems, controlled systems, equivalence, classification, terminal control.

UDC: 519.62

Received: 03.04.2017

DOI: 10.31857/S004446690000430-4


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:7, 1049–1057

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© Steklov Math. Inst. of RAS, 2026