ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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7
Issue
vol 63 / July, 2020
Article

DOI 10.17586/0021-3454-2015-58-9-681-686

UDC 681.51

FINITE-TIME STABILITY OF SYSTEM OF SERIES-CONNECTED INTEGRATORS

K. A. Zimenko
ITMO University, Saint Petersburg, 197101, Russian Federation; Senior Scientific Researcher


A. E. Polyakov
Institut national de rechercheeninformatique et enautomatique, Lille, 59650, France ; Senior Researcher


D. V. Efimov
INRIA (Institut national de recherche en informatique et en automatique), Lille, 59650, France; Principal investigator of the first rank


A. S. Kremlev
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


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Abstract. The problem of finite-time stability analysis of system of series-connected integrators is considered. An algorithm of the system stabilization is proposed. The algorithm makes use of implicit Lyapunov function technique as well as several properties of homogeneous systems. Evaluation of control parameters is based on solution to a system of linear matrix inequalities. Effectiveness of the proposed method is confirmed by presented results of computer modeling
Keywords: finite time stability, implicit Lyapunov function technique, state feedback control