Quantitative bounds for general Razumikhin-type functional differential inequalities with applications

被引：2
|
作者：
Zhao, Xueyan [1 ]
Fu, Minyue [2 ,3 ]
Deng, Feiqi [1 ]
Yang, Qigui [4 ]
机构：
[1] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510641, Peoples R China
[2] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia
[3] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
[4] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 86卷
基金：
中国国家自然科学基金;
关键词：
Razumikhin-type theorems; Functional differential inequalities; Stability; Stochastic functional differential equations; TO-STATE STABILITY; TIME-DELAY SYSTEMS; EXPONENTIAL STABILITY; DECAY STABILITY; THEOREMS; STABILIZATION; EQUATIONS; CRITERIA;
D O I：
10.1016/j.cnsns.2020.105253
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes the concept of Razumikhin-type functional differential inequalities and points out that certain quantitative properties can be established for the Razumikhin-type functional differential inequalities. By virtue of certain auxiliary functions, some fundamental results on the quantitative bounds for the Razumikhin-type functional differential inequalities are systemically established in the paper, and these bounds are applied to deduce the basic Razumikhin-type stability theorems, including those for Ito stochastic functional differential equations. Two examples are given to illustrate the application of the established quantitative properties and to verify the effectiveness of our approach. (C) 2020 Elsevier B.V. All rights reserved.
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页数：13
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