Practical Stability and Integral Stability for Singular Differential Systems with Maxima

Practical Stability and Integral Stability for Singular Differential Systems with Maxima

In this paper, we introduce various definitions of practical stability and integral stability for nonlinear singular differential systems with maxima and give criteria of stability for such systems via the Lyapunov method and comparison principle.

Bibliographic Details
Main Authors: Junyan Bao, Peiguang Wang, Yanjun Li
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/4792183
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spelling doaj-c73a61ada18a440dad97501a5962c79c2020-11-25T02:26:27ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/47921834792183Practical Stability and Integral Stability for Singular Differential Systems with MaximaJunyan Bao0Peiguang Wang1Yanjun Li2College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaIn this paper, we introduce various definitions of practical stability and integral stability for nonlinear singular differential systems with maxima and give criteria of stability for such systems via the Lyapunov method and comparison principle.http://dx.doi.org/10.1155/2020/4792183
collection DOAJ
language English
format Article
sources DOAJ
author Junyan Bao
Peiguang Wang
Yanjun Li
spellingShingle Junyan Bao
Peiguang Wang
Yanjun Li
Practical Stability and Integral Stability for Singular Differential Systems with Maxima
Mathematical Problems in Engineering
author_facet Junyan Bao
Peiguang Wang
Yanjun Li
author_sort Junyan Bao
title Practical Stability and Integral Stability for Singular Differential Systems with Maxima
title_short Practical Stability and Integral Stability for Singular Differential Systems with Maxima
title_full Practical Stability and Integral Stability for Singular Differential Systems with Maxima
title_fullStr Practical Stability and Integral Stability for Singular Differential Systems with Maxima
title_full_unstemmed Practical Stability and Integral Stability for Singular Differential Systems with Maxima
title_sort practical stability and integral stability for singular differential systems with maxima
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description In this paper, we introduce various definitions of practical stability and integral stability for nonlinear singular differential systems with maxima and give criteria of stability for such systems via the Lyapunov method and comparison principle.
url http://dx.doi.org/10.1155/2020/4792183
work_keys_str_mv AT junyanbao practicalstabilityandintegralstabilityforsingulardifferentialsystemswithmaxima
AT peiguangwang practicalstabilityandintegralstabilityforsingulardifferentialsystemswithmaxima
AT yanjunli practicalstabilityandintegralstabilityforsingulardifferentialsystemswithmaxima
_version_ 1715486090186457088

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