NEW RESULTS ON DELAY-INTERVAL-DEPENDENT ROBUST EXPONENTIAL STABILITY FOR UNCERTAIN NEUTRAL-TYPE SYSTEMS WITH MIXED TIME-VARYING DELAYS AND NONLINEAR PERTURBATIONS

被引：0

作者：

Samorn, Nayika ^{[1
]}

Mukdasai, Kanit ^{[1
]}

Junsawang, Prem ^{[2
]}

Pinjai, Sirada ^{[3
]}

机构：

[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand

[2] Khon Kaen Univ, Dept Stat, Fac Sci, Khon Kaen 40002, Thailand

[3] Ragamangala Univ Technol Lanna, Fac Sci & Agr, Dept Math, Technol, Chiang Mai 50300, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 01期

关键词：

Lyapunov-Krasovskii functional; linear matrix inequality; robust exponential stability; interval time-varying delay; CRITERIA; DISCRETE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The design problem of delay-interval-dependent robust exponential stability for uncertain neutral-type system with distributed and discrete time-varying delays, and nonlinear perturbations was studied. We concentrated on norm-bounded uncertainties and nonlinear time-varying parameter perturbations. By using mixed model transformation, Peng-Park's integral inequality, Wirtinger-based integral inequality, and proper Lyapunov-Krasovskii functional, new delay-inteval-dependent robust exponential stability criterion was received and formulated in the form of linear matrix inequalities (LMIs). Moreover, exponential stability criterion was also suggested for a neutral-type system with distributed and discrete time-varying delays, and nonlinear perturbations. Finally, numerical examples showed that the recommended approach achieves the expected results and the predominance of our results to those in the literature.

引用

页码：435 / 452

页数：18

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