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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm11156https://doi.org/10.4213/mzm11156 https://www.mathnet.ru/eng/mzm/v101/i6/p883
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