Matrix Lyapunov functions method for sets of dynamic equations on time scales

In this paper, for a family of equations on time scales, a generalization of the direct method of Lyapunov is introduced. Efficient sufficient conditions for various stability types of the sets of trajectories are proposed by means of scalar and vector Lyapunov-type functions, constructed on the bas...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis. Hybrid systems 2019-11, Vol.34, p.166-178
Main Authors: Martynyuk, A.A., Stamova, I.M., Martynyuk-Chernienko, Yu.A.
Format: Article
Language:English
Subjects:
Matrix-valued Lyapunov functions
Practical stability
Set dynamic equations
Stability with respect to two measures
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, for a family of equations on time scales, a generalization of the direct method of Lyapunov is introduced. Efficient sufficient conditions for various stability types of the sets of trajectories are proposed by means of scalar and vector Lyapunov-type functions, constructed on the basis of matrix-valued functions.
ISSN:1751-570X
DOI:10.1016/j.nahs.2019.06.004