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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 1, Pages 39–45 (Mi vmumm294)

This article is cited in 3 papers

Mechanics

Robust stability of third-order control systems

V. V. Aleksandrov, I. O. Zueva, G. Yu. Sidorenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Application of variational methods in stability theory leads to new results in the case of control systems whose description includes various parameters known up to some sets. This paper attempts to consider these possibilities by the example of expansion of the classical concept of stability under constantly acting perturbations introduced by G. N. Duboshin and I. G. Malkin in 1941–1944.

Key words: robust stability, stability under constantly acting perturbations, limit cycle, auto-oscillations.

UDC: 531.396

Received: 22.06.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:1, 10–15

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