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.

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.

Exponential Stability Analysis for Neutral Stochastic Delayed Neural Networks

2011 ◽  
Vol 354-355 ◽  
pp. 877-880
Author(s):  
Min Gang Hua ◽  
Jun Tao Fei ◽  
Wei Li Dai
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Exponential Stability ◽  
Lyapunov Functional ◽  
Stability Criteria ◽  
Delayed Neural Networks ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the generalized Finsler lemma and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria of neutral stochastic delayed neural networks. The stability criteria in the new results improve and generalize existing ones. Two examples are included to show the effectiveness of the results.

Delay-Dependent Stability Criteria for Time-Delayed Systems

2013 ◽  
Vol 313-314 ◽  
pp. 1184-1187
Author(s):  
Chang Hui Song
Keyword(s):  
Sufficient Conditions ◽  
Functional Method ◽  
Stability Conditions ◽  
Quadratic Term ◽  
Asymptotically Stable ◽  
Stability Criteria ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

Robust Stability of Uncertain Switched Delay Systems with Nonlinear Perturbations

2011 ◽  
Vol 228-229 ◽  
pp. 782-788
Author(s):  
Chang Cheng Xiang ◽  
Xiu Liu ◽  
Xiu Yong Ding
Keyword(s):  
Robust Stability ◽  
Delay Differential Equations ◽  
Stability Problem ◽  
Delay Systems ◽  
Nonlinear Perturbations ◽  
Linear Delay ◽  
The Stability ◽  
Delay Differential ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper focuses on the stability problem of a class of uncertain switched delay systems with nonlinear perturbations. Applying multiple functional technique, we establish a delay dependent stability condition via designing appropriate switching rule. It should emphasize that this result is a standard extension of linear delay differential equations. Meanwhile, this result is presented by LMIs and thus solved easily.

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.

New Delay-Dependent Approach on Stability for Systems with Interval Time-Varying Delay

2011 ◽  
Vol 181-182 ◽  
pp. 325-329
Author(s):  
Tao Zhang ◽  
Yan Qiu Cui ◽  
Juan Wang ◽  
Jin Sheng Sun
Keyword(s):  
Model Transformation ◽  
Time Varying ◽  
Stability Criteria ◽  
Theoretical Derivation ◽  
Interval Time ◽  
Time Varying Delay ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

In this paper, the stability of systems with interval time-varying delay is investigated. The time delay varies in an interval. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, the delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation, the developed stability criteria significantly improve and simplify the existing stability conditions.

Delay-Dependent Absolute Stability Analysis of Lurie Control System with Multiple Delays

2013 ◽  
Vol 631-632 ◽  
pp. 1195-1200
Author(s):  
Yu Bai ◽  
Zhao Di Xu ◽  
Chao Deng ◽  
Chang Liu
Keyword(s):  
Control System ◽  
Time Delays ◽  
Multiple Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Multiple Time Delays ◽  
Integral Equality ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper investigates the stability problem for Lurie control system with multiple delays. The system with multiple time-delays is transformed, then the delay divided into several segments, a novel Lyapunov functional is introduced and some new delay-dependent stability criteria are derived by employed integral-equality technique. It is theoretically proved that the obtained criteria are less conservative than some existing ones. An example is given to illustrate the effectiveness of the proposed results.

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