Improved delay-partitioning method to stability analysis for neural networks with discrete and distributed time-varying delays

2014 ◽  
Vol 233 ◽  
pp. 152-164 ◽  
Author(s):  
Junkang Tian ◽  
Wenjun Xiong ◽  
Fang Xu
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Time Varying ◽  
Delay Partitioning

scholarly journals Improved Delay-Dependent Stability Analysis for Neural Networks with Interval Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Jun-kang Tian ◽  
Yan-min Liu
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Upper And Lower Bounds ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Improved Stability ◽  
Delay Dependent ◽  
Delay Partitioning

The problem of delay-dependent asymptotic stability analysis for neural networks with interval time-varying delays is considered based on the delay-partitioning method. Some less conservative stability criteria are established in terms of linear matrix inequalities (LMIs) by constructing a new Lyapunov-Krasovskii functional (LKF) in each subinterval and combining with reciprocally convex approach. Moreover, our criteria depend on both the upper and lower bounds on time-varying delay and its derivative, which is different from some existing ones. Finally, a numerical example is given to show the improved stability region of the proposed results.

Improved Stability Analysis for Neural Networks with Interval Time-Varying Delays

2014 ◽  
Vol 687-691 ◽  
pp. 2078-2082 ◽  
Author(s):  
Ze Rong Ren ◽  
Jun Kang Tian
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Upper And Lower Bounds ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Improved Stability ◽  
Delay Dependent ◽  
Delay Partitioning

In this paper, the problem of delay-dependent asymptotic stability analysis for neural networks with interval time-varying delays is considered. By the use of delay-partitioning method and some novel techniques, some less conservative stability criteria are established in terms of linear matrix inequalities. Moreover, our criteria depend on both the upper and lower bounds of time-varying delay and its derivative, which is different from some existing ones. Finally, an numerical example is given to show the improved stability region of the proposed results.

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