Effect of noise on the solutions of non-linear delay systems

被引：11
|
作者：
Zhu, Quanxin [1 ,2 ,3 ]
Song, Shiyun [2 ,3 ]
Shi, Peng [4 ,5 ]
机构：
[1] Hunan Normal Univ, Coll Math & Stat, Key Lab HPC SIP MOE, Changsha 410081, Hunan, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
[4] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China
[5] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
来源：
IET CONTROL THEORY AND APPLICATIONS | 2018年 / 12卷 / 13期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
delay systems; nonlinear control systems; noise; nonlinear delay systems; nonlinear growth conditions; noise effect; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SAMPLED-DATA STABILIZATION; RECURRENT NEURAL-NETWORKS; TIME-VARYING DELAYS; TO-STATE STABILITY; H-INFINITY CONTROL; EXPONENTIAL STABILITY; STOCHASTIC-SYSTEMS; INDEPENDENT STABILITY; INTEGRAL-INEQUALITIES;
D O I：
10.1049/iet-cta.2017.0963
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study the authors are concerned with the effect of noise on the solutions of a class of non-linear delay systems. The systems under investigation are non-linear without linear growth condition requirement, which makes the analysis difficult to ensure the existence and uniqueness of solutions. The authors first introduce a set of new non-linear growth conditions with delays, and then provide the existence and uniqueness of solutions as well as some properties of the solutions. The new condition only requires the knowledge of the coefficient of the highest term, which is much easier to check in practice than the traditional conditions. Finally, an example is given to show the effectiveness and potential of theoretic results obtained.
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页码：1822 / 1829
页数：8
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