Stability of Differential Systems with Impulsive Effects

被引：0
作者：
Li, Chunxiang [1 ]
Hui, Fangshu [1 ]
Li, Fangfei [2 ,3 ]
机构：
[1] Naval Med Univ, Fac Mil Med Serv, Dept Math & Phys, Shanghai 200433, Peoples R China
[2] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
[3] East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 20期
基金：
中国国家自然科学基金;
关键词：
stability; differential systems; impulsive effects; stochastic systems; delay; neural networks; UNIFORM ASYMPTOTIC STABILITY; MOMENT EXPONENTIAL STABILITY; DIFFUSION NEURAL-NETWORKS; FINITE-TIME STABILITY; TO-STATE STABILITY; LIPSCHITZ STABILITY; PRACTICAL STABILITY; STRICT STABILITY; VARYING DELAYS; EQUATIONS;
D O I：
10.3390/math11204382
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered. These systems include impulsive differential systems, stochastic impulsive differential systems and differential systems with several specific impulses (non-instantaneous impulses, delayed impulses, impulses suffered by logic choice and impulse time windows). The stability issues as well as the applications in neural networks are discussed in detail.
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页数：23
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