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
中图分类号：
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.
引用
收藏
相关论文
共 73 条
[1]  
Lakshmikantham V.(2003)Interconnection between set and fuzzy differential equations Nonlinear Anal. TMA 54 351-360
[2]  
Leela S.(2003)Set differential equations and flow invariance Appl. Anal. 82 357-368
[3]  
Vastla A.S.(2004)Lyapunov stability for set differential equations Dyn. Syst. Appl. 13 1-10
[4]  
Bhaskar T.G.(2004)Stability results for set difference equations Dyn. Syst. Appl. 13 479-485
[5]  
Lakshmikantham V.(2005)Stability criteria for set differential equations Math. Comput. Model. 41 1371-1378
[6]  
Bhaskar T.G.(2009)Stability of set differential equations and applications Nonlinear Anal. TMA 71 1526-1533
[7]  
Lakshmikantham V.(2006)Dynamics and stability of impulsive hybrid setvalued integro-differential equations with delay Nonlinear Anal. TMA 65 2082-2093
[8]  
Bhaskar T.G.(2012)On maximal and minimal solutions for set-valued differential equations with feedback control Abstr. Appl. Anal. 2012 204-220
[9]  
Shaw M.(2013)Set-valued and fuzzy stochastic differential equations driven by semimartingales Nonlinear Anal. TMA 79 157-174
[10]  
Bhaskar T.G.(2016)Almost periodicity of set-valued functions and set dynamic equations on time scales Inf. Sci. 330 2106-2134
12345678