New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates

被引：25

作者：

Kao, Yonggui ^{[1
]}

Wang, Changhong ^{[1
]}

Xie, Jing ^{[2
]}

Karimi, Hamid Reza ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150006, Peoples R China

[2] Ocean Univ China, Coll Informat Sci & Engn, Qingdao, Peoples R China

[3] Univ Agder, Fac Sci & Technol, Dept Engn, Grimstad, Norway

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 11期

关键词：

neutral-type stochastic system; Markovian switching; mean-square exponentially stable; delay-dependent stability; general uncertain transition rate; TIME-VARYING DELAYS; NEURAL-NETWORKS; EXPONENTIAL STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; PARAMETERS; CRITERIA;

D O I：

10.1080/00207721.2014.998746

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the delay-dependent stability problem for neutral Markovian jump systems with generally unknown transition rates (GUTRs). In this neutral GUTR model, each transition rate is completely unknown or only its estimate value is known. Based on the study of expectations of the stochastic cross-terms containing the [GRAPHICS] integral, a new stability criterion is derived in terms of linear matrix inequalities. In the mathematical derivation process, bounding stochastic cross-terms, model transformation and free-weighting matrix are not employed for less conservatism. Finally, an example is provided to demonstrate the effectiveness of the proposed results.

引用

页码：2499 / 2509

页数：11

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