Exponential stability for a class of set dynamic equations on time scales

被引：0
作者：
Keke Jia
Shihuang Hong
Xiaoyu Cao
Jieqing Yue
机构：
[1] Hangzhou Dianzi University,Science School
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Time scales; Matrix-valued Lyapunov functions; Set dynamic equations; Exponential stability;
D O I：
暂无
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学科分类号：
摘要：
We first present a new definition for some form of exponential stability of solutions, including H-exponential stability, H-exponentially asymptotic stability, H-uniformly exponential stability, and H-uniformly exponentially asymptotic stability for a class of set dynamic equations on time scales. Employing Lyapunov-like functions on time scales, we provide the sufficient conditions for the exponential stability of the trivial solution for such set dynamic equations.
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[21]  
Hong S.H.(2005)Exponential stability of dynamic equations on time scales Adv. Differ. Equ. 2005 1159-1174
[22]  
Peng Y.(2007)On the exponential stability of dynamic equations on time scales J. Math. Anal. Appl. 331 4717-4725
[23]  
Michta M.(2006)Boundedness and exponential stability of solutions to dynamic equations on time scales Electron. J. Differ. Equ. 2006 166-178
[24]  
Kisielewicz M.(2011)Stability in terms of two measures of dynamic system on time scales Comput. Math. Appl. 62 3622-3637
[25]  
Michta M.(2019)Matrix Lyapunov functions method for sets of dynamic equations on time scales Nonlinear Anal. Hybrid Syst. 34 2966-2984
[26]  
Lakshmikantham V.(2009)Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations Nonlinear Anal. TMA 71 54-64
[27]  
Leela S.(2011)Phase spaces and periodic solutions of set functional dynamic equations with infinite delay Nonlinear Anal. TMA 74 4916-4924
[28]  
Vatsala A.S.(2014)Solvability and stability of impulsive set dynamic equations on time scales Abstr. Appl. Anal. 2014 1-7
[29]  
Lakshmikantham V.(2019)Sufficient conditions for uniform exponential stability and h-stability of some classes of dynamic equations on arbitrary time scales Nonlinear Anal. Hybrid Syst. 32 419-428
[30]  
Leela S.(2011)Exponential stability for set dynamic equations on time scales J. Comput. Appl. Math. 235 3444-3457
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