Stability analysis of switched stochastic neural networks with time-varying delays
This paper is concerned with the global exponential stability of switched stochastic neural networks with time-varying delays. Firstly, the stability of switched stochastic delayed neural networks with stable subsystems is investigated by utilizing the mathematical induction method, the piecewise Ly...
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| Veröffentlicht in: | Neural networks 2014-03, Vol.51, p.39-49 |
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| container_title | Neural networks |
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| creator | Wu, Xiaotai Tang, Yang Zhang, Wenbing |
| description | This paper is concerned with the global exponential stability of switched stochastic neural networks with time-varying delays. Firstly, the stability of switched stochastic delayed neural networks with stable subsystems is investigated by utilizing the mathematical induction method, the piecewise Lyapunov function and the average dwell time approach. Secondly, by utilizing the extended comparison principle from impulsive systems, the stability of stochastic switched delayed neural networks with both stable and unstable subsystems is analyzed and several easy to verify conditions are derived to ensure the exponential mean square stability of switched delayed neural networks with stochastic disturbances. The effectiveness of the proposed results is illustrated by two simulation examples. |
| doi_str_mv | 10.1016/j.neunet.2013.12.001 |
| format | Article |
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Firstly, the stability of switched stochastic delayed neural networks with stable subsystems is investigated by utilizing the mathematical induction method, the piecewise Lyapunov function and the average dwell time approach. Secondly, by utilizing the extended comparison principle from impulsive systems, the stability of stochastic switched delayed neural networks with both stable and unstable subsystems is analyzed and several easy to verify conditions are derived to ensure the exponential mean square stability of switched delayed neural networks with stochastic disturbances. 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| ispartof | Neural networks, 2014-03, Vol.51, p.39-49 |
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| subjects | Algorithms Applied sciences Artificial intelligence Computer science control theory systems Computer Simulation Connectionism. Neural networks Control system analysis Control theory. Systems Exact sciences and technology Exponential stability Linear matrix inequality Linear Models Neural networks Neural Networks (Computer) Stochastic Processes Switched systems System theory Time Factors Time-varying delays |
| title | Stability analysis of switched stochastic neural networks with time-varying delays |
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