Higher-order derivatives of Lyapunov functions and partial boundedness of solutions with partially controllable initial conditions

K. S. Lapin

doi:10.1134/S0001434617050273

Higher-order derivatives of Lyapunov functions and partial boundedness of solutions with partially controllable initial conditions

Authors: Lapin K.S.¹
Affiliations:
1. Evsev’ev Mordvinian State University
Issue: Vol 101, No 5-6 (2017)
Pages: 1000-1008
Section: Volume 101, Number 6, June, 2017
URL: https://ogarev-online.ru/0001-4346/article/view/150061
DOI: https://doi.org/10.1134/S0001434617050273
ID: 150061

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

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

About the authors

K. S. Lapin

Evsev’ev Mordvinian State University

Author for correspondence.
Email: klapin@mail.ru
Russian Federation, Saransk

Supplementary files

Supplementary Files

Action

1. JATS XML

Download

Username
Password
Remember me

Forgot password?	Register

Username
Password
Remember me

Forgot password?	Register