Impulsive stabilization of dynamic equations on time scales
type: Item
instance of: scholarly article
title: Impulsive stabilization of dynamic equations on time scales
zbMATH Open document ID: 1474.34628
DOI: 10.1155/2014/609808
author: Yinhua Cui
author: Sung Kyu Choi
author: Namjip Koo
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In this paper we study the impulsive stabilization of dynamic equations on time scales via the Lyapunov's direct method. Our results show that dynamic equations on time scales may be \(\psi\)-exponentially stabilized by impulses. Furthermore, we give some examples to illustrate our results.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 7022715
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/609808
OpenAlex ID: W2074681334
Wikidata QID: Q59039920
cites work: Exponential stability of the solutions of the initial value problem for systems with an impulse effect
cites work: Q5565859
cites work: Q3995625
cites work: Q3211639
cites work: Q5751214
cites work: Q2723195
cites work: Q4716262
cites work: Variationally stable dynamic systems on time scales
cites work: Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
cites work: \(\psi\)-exponential stability of nonlinear impulsive dynamic equations on time scales
cites work: Q3558198
cites work: Stability criteria for impulsive systems on time scales
cites work: \Psi-uniformly stability for time varying linear dynamic systems on time scales
cites work: Impulsive stabilization of nonlinear systems
cites work: On First Order Impulsive Dynamic Equations on Time Scales
cites work: Q3898820
cites work: Q5520199
cites work: Chain rule and invariance principle on measure chains
cites work: The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
cites work: Further discussion on statistical properties of activity flow time in PERT
description: scientific article; zbMATH DE number 7022715