Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems

2005 ◽  
Vol 15 (18) ◽  
pp. 923-933 ◽  
Author(s):  
Yong He ◽  
Qing-Guo Wang ◽  
Chong Lin ◽  
Min Wu
Keyword(s):  
Lyapunov Functional ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

A Delay-Dividing Approach for Stability of Neutral System with Mixed Delays

2012 ◽  
Vol 468-471 ◽  
pp. 405-408
Author(s):  
Fang Qiu ◽  
Quan Xin Zhang
Keyword(s):  
Stability Problem ◽  
Lyapunov Functional ◽  
Mixed Delays ◽  
Neutral System ◽  
Stability Criteria ◽  
Numerical Examples ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the stability problem for the neutral system with mixed delays. By constructing a novel Lyapunov functional based on a delay-dividing approach, some delay-dependent stability criteria are derived to guarantee the stability of the neutral system. It is established theoretically that the criteria are less conservative than recent reported ones. Two numerical examples are demonstrated to illustrate the effectiveness of the proposed results.

New Delay Dependent Stability Analysis for Switched Neutral Systems with Mode-Dependent Delays under Arbitrary Switching Laws

2011 ◽  
Vol 228-229 ◽  
pp. 993-1000
Author(s):  
Liang Lin Xiong ◽  
Xin Wang ◽  
Zhu Yuan Yang
Keyword(s):  
Stability Analysis ◽  
Lyapunov Functional ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Neutral Systems ◽  
Arbitrary Switching ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the stability analysis of switched uncertain neutral systems with mode-dependent delays under arbitrary switching rules is presented. Based on common Lyapunov functional, and combined with the analysis of matrix inequalities, the delay dependent stability conditions are obtained in the form of linear matrix inequalities(LMIs)which can be easily solved by LMI toolbox in Matlab. Finally, a numerical example illustrate that the proposed criteria are effective.

Stability Analysis for Descriptor Neutral Systems with Mixed Delays

2011 ◽  
Vol 228-229 ◽  
pp. 153-157
Author(s):  
Xiu Liu ◽  
Shou Ming Zhong ◽  
Xiu Yong Ding
Keyword(s):  
Descriptor System ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Neutral Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Stability Results

Delay-dependent stability of descriptor neutral systems with mixed delays is investigated in this paper. Based on descriptor system approach, some new delay-dependent stability and robust stability criteria are established in terms of a operator and linear matrix inequalities(LMIs). Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the stability results.

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