Exponential stability criteria for a neutral type stochastic single neuron system with time-varying delays

2015 ◽  
Vol 154 ◽  
pp. 317-324 ◽  
Author(s):  
G. Arthi ◽  
Ju H. Park ◽  
H.Y. Jung ◽  
J.H. Yoo
Keyword(s):  
Exponential Stability ◽  
Single Neuron ◽  
Neutral Type ◽  
Time Varying ◽  
Stability Criteria ◽  
Neuron System

On Robust Stability for Stochastic Neural Networks of Neutral-Type with Uncertainties and Time-Varying Delays

2012 ◽  
Vol 457-458 ◽  
pp. 716-722
Author(s):  
Guo Quan Liu ◽  
Simon X. Yang
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Neutral Type ◽  
Linear Matrix ◽  
Stochastic Neural Networks ◽  
Time Varying ◽  
Stability Criteria ◽  
Analysis Problem ◽  
Analysis Technique ◽  
Robust Stability Analysis

This paper is concerned with the robust stability analysis problem for stochastic neural networks of neutral-type with uncertainties and time-varying delays. Novel stability criteria are proposed in terms of linear matrix inequality (LMI) by defining a Lyapunov-Krasovskii functional and using the stochastic analysis technique. Two examples are given to show the effectiveness of the obtained conditions.

scholarly journals Novel Delay-Decomposing Approaches to Absolute Stability Criteria for Neutral-Type Lur’e Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Liang-Dong Guo ◽  
Sheng-Juan Huang ◽  
Li-Bing Wu
Keyword(s):  
Absolute Stability ◽  
Neutral Type ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Delay Dependent ◽  
Numerical Complexity ◽  
Variation Interval

The problem of absolute stability analysis for neutral-type Lur’e systems with time-varying delays is investigated. Novel delay-decomposing approaches are proposed to divide the variation interval of the delay into three unequal subintervals. Some new augment Lyapunov–Krasovskii functionals (LKFs) are defined on the obtained subintervals. The integral inequality method and the reciprocally convex technique are utilized to deal with the derivative of the LKFs. Several improved delay-dependent criteria are derived in terms of the linear matrix inequalities (LMIs). Compared with some previous criteria, the proposed ones give the results with less conservatism and lower numerical complexity. Two numerical examples are included to illustrate the effectiveness and the improvement of the proposed method.

Exponential stability for nonlinear hybrid stochastic systems with time varying delays of neutral type

2020 ◽  
Vol 107 ◽  
pp. 106468
Author(s):  
Lichao Feng ◽  
Zhihui Wu ◽  
Jinde Cao ◽  
Shiqiu Zheng ◽  
Fuad E. Alsaadi
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Neutral Type ◽  
Time Varying ◽  
Hybrid Stochastic Systems ◽  
Nonlinear Hybrid
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