Delay-Dependent Robust Asymptotic Stability for Uncertain Fuzzy Systems with Time Delays

2007 ◽  
Author(s):  
Ji-Qing Qiu ◽  
Zhi-Feng Gao ◽  
Ju-Fang Wang ◽  
Yan-Jun Wang
Keyword(s):  
Asymptotic Stability ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Delay Dependent ◽  
Robust Asymptotic Stability

DELAY-DEPENDENT GLOBAL ROBUST ASYMPTOTIC STABILITY ANALYSIS OF BAM NEURAL NETWORKS WITH TIME DELAY: AN LMI APPROACH

2007 ◽  
Vol 03 (01) ◽  
pp. 57-68 ◽  
Author(s):  
XU-YANG LOU ◽  
BAO-TONG CUI
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Lmi Approach ◽  
Global Robust Asymptotic Stability ◽  
Dependent Property ◽  
Delay Dependent ◽  
Robust Asymptotic Stability

The global robust asymptotic stability of bi-directional associative memory (BAM) neural networks with constant or time-varying delays is studied. An approach combining the Lyapunov-Krasovskii functional with the linear matrix inequality (LMI) is taken to study the problem. Some a criteria for the global robust asymptotic stability, which gives information on the delay-dependent property, are derived. Some illustrative examples are given to demonstrate the effectiveness of the obtained results.

Delay-dependent stabilization for stochastic fuzzy systems with time delays

2007 ◽  
Vol 158 (20) ◽  
pp. 2238-2250 ◽  
Author(s):  
Baoyong Zhang ◽  
Shengyuan Xu ◽  
Guangdeng Zong ◽  
Yun Zou
Keyword(s):  
Fuzzy Systems ◽  
Time Delays ◽  
Delay Dependent

Delay-dependent robust control for uncertain T-S fuzzy systems with state and input time delays

2010 ◽  
Author(s):  
Zhaona Chen ◽  
Vesna M. Ojleska ◽  
Yuanwei Jing ◽  
Tatjana D. Kolemisevska-Gugulovska ◽  
Georgi M. Dimirovski
Keyword(s):  
Robust Control ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Input Time ◽  
Delay Dependent

scholarly journals Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Xinghua Liu
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Time Delays ◽  
Actuator Saturation ◽  
Lyapunov Theory ◽  
Neutral System ◽  
Neutral Systems ◽  
Saturating Actuators ◽  
New Type ◽  
Delay Dependent

This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

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