H-infinity Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties

Park M. J.; Kwon O. M.; Park Ju H.; Lee S. M.; Cha E. J.

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H-infinity Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties

机译：具有时变时滞和随机参数不确定性的线性系统的H-∞性能和稳定性分析

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This paper deals with the problems of H-infinity performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent randomchange of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

机译：本文研究了具有时变间隔的线性系统的H-无穷大性能和稳定性分析的问题。假设参数不确定性具有随机性质，以表示各种环境的随机变化。通过构造新增强的Lyapunov-Krasovskii泛函，在线性矩阵不等式（LMI）框架下引入了相关系统的较不保守的准则。给出了四个数值例子，以说明对现有方法的改进和所提出方法的有效性。

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《Mathematical Problems in Engineering》 |2015年第2期|821086.1-821086.13|共13页
作者
Park M. J.; Kwon O. M.; Park Ju H.; Lee S. M.; Cha E. J.;
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Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea.;

Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea.;

Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Gyongsan 712749, South Korea.;

Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea.;

Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Cheongju 361763, South Korea.;

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H-infinity Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties

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