RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2017 Volume 101, Issue 6, Pages 883–893 (Mi mzm11156)

This article is cited 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.

UDC: 517.925.54

Received: 06.03.2016
Revised: 14.06.2016

DOI: 10.4213/mzm11156


 English version:
Mathematical Notes, 2017, 101:6, 1000–1008

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024