Novel Criteria for Exponential Stability of Linear Non-Autonomous Functional Differential Equations

被引：4

作者：

Pham Huu Anh Ngoc ^{[1
]}

Thai Bao Tran ^{[2
]}

Cao Thanh Tinh ^{[3
]}

Nguyen Dinh Huy ^{[4
]}

机构：

[1] Int Univ, Vietnam Natl Univ HCMC, Dept Math, Thu Duc Dist, Saigon, Vietnam

[2] Univ Informat Technol, Vietnam Natl Univ HCMC, Fac Informat Syst, Thu Duc Dist, Saigon, Vietnam

[3] Univ Informat Technol, Vietnam Natl Univ HCMC, Dept Math, Thu Duc Dist, Saigon, Vietnam

[4] Ho Chi Minh City Univ Technol, Vietnam Natl Univ HCMC, Fac Appl Sci, Div Appl Math, Thu Duc Dist, Saigon, Vietnam

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2019年 / 32卷 / 02期

关键词：

Exponential stability; linear functional differential equations; perturbation;

D O I：

10.1007/s11424-018-7156-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

General linear non-autonomous functional differential equations are considered. Explicit criteria for exponential stability are given. Furthermore, the authors present an explicit robust stability bound for systems subject to time-varying perturbations. Two examples are given to illustrate the obtained results.

引用

页码：479 / 495

页数：17

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