Stability of non-instantaneous impulsive systems in Hilbert spaces

Mengmeng Li; Jin Rong Wang; Donal O'Regan

doi:10.1016/j.cnsns.2023.107237

Stability of non-instantaneous impulsive systems in Hilbert spaces

Mengmeng Li, Jin Rong Wang, Donal O'Regan

Mathematics

Guizhou University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we introduce the concepts of Lyapunov exponent and Lyapunov regularity in Hilbert spaces, which is similar to that in the classical theory. As an application, under sufficiently small perturbations, we establish the asymptotic stability of the zero solution of non-instantaneous impulses nonautonomous nonlinear perturbations systems, which linear system is Lyapunov regular.

Original language	English
Article number	107237
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	122
DOIs	https://doi.org/10.1016/j.cnsns.2023.107237
Publication status	Published - Jul 2023

Keywords

Asymptotic stability
Lyapunov regularity
Non-instantaneous impulsive

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10.1016/j.cnsns.2023.107237

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title = "Stability of non-instantaneous impulsive systems in Hilbert spaces",

abstract = "In this paper, we introduce the concepts of Lyapunov exponent and Lyapunov regularity in Hilbert spaces, which is similar to that in the classical theory. As an application, under sufficiently small perturbations, we establish the asymptotic stability of the zero solution of non-instantaneous impulses nonautonomous nonlinear perturbations systems, which linear system is Lyapunov regular.",

keywords = "Asymptotic stability, Lyapunov regularity, Non-instantaneous impulsive",

author = "Mengmeng Li and Wang, \{Jin Rong\} and Donal O'Regan",

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year = "2023",

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T1 - Stability of non-instantaneous impulsive systems in Hilbert spaces

AU - Li, Mengmeng

AU - Wang, Jin Rong

AU - O'Regan, Donal

PY - 2023/7

Y1 - 2023/7

N2 - In this paper, we introduce the concepts of Lyapunov exponent and Lyapunov regularity in Hilbert spaces, which is similar to that in the classical theory. As an application, under sufficiently small perturbations, we establish the asymptotic stability of the zero solution of non-instantaneous impulses nonautonomous nonlinear perturbations systems, which linear system is Lyapunov regular.

AB - In this paper, we introduce the concepts of Lyapunov exponent and Lyapunov regularity in Hilbert spaces, which is similar to that in the classical theory. As an application, under sufficiently small perturbations, we establish the asymptotic stability of the zero solution of non-instantaneous impulses nonautonomous nonlinear perturbations systems, which linear system is Lyapunov regular.

KW - Asymptotic stability

KW - Lyapunov regularity

KW - Non-instantaneous impulsive

UR - https://www.scopus.com/pages/publications/85151438809

U2 - 10.1016/j.cnsns.2023.107237

DO - 10.1016/j.cnsns.2023.107237

M3 - Article

AN - SCOPUS:85151438809

SN - 1007-5704

VL - 122

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

M1 - 107237

ER -

Stability of non-instantaneous impulsive systems in Hilbert spaces

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Keywords

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