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Matematicheskie Zametki, 2017, Volume 101, Issue 6, Pages 883–893
DOI: https://doi.org/10.4213/mzm11156 (Mi mzm11156) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk
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DOI: https://doi.org/10.4213/mzm11156
Abstract: Certain sufficient criteria for the types of partial boundedness of solutions with partially controllable initial conditions are obtained in terms of higher-order derivatives of the Lyapunov functions.
Keywords: Lyapunov function, Lyapunov vector function, higher-order derivatives, boundedness of solutions with respect to part of the variables, partially controllable initial conditions.
Received: 06.03.2016
Revised: 14.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 1000–1008
DOI: https://doi.org/10.1134/S0001434617050273
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
Language: Russian
Citation: K. S. Lapin, “Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions”, Mat. Zametki, 101:6 (2017), 883–893; Math. Notes, 101:6 (2017), 1000–1008
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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