Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching
The problem of globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is studied in this paper. By using the Lyapunov–Krasovskii method and the stochastic analysis approach, a sufficient condition to ensure globally expo...
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| Veröffentlicht in: | Nonlinear dynamics 2012-11, Vol.70 (3), p.2107-2116 |
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| container_title | Nonlinear dynamics |
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| creator | Gao, Yan Zhou, Wuneng Ji, Chuan Tong, Dongbing Fang, Jian’an |
| description | The problem of globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is studied in this paper. By using the Lyapunov–Krasovskii method and the stochastic analysis approach, a sufficient condition to ensure globally exponential stability for the stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is derived. Finally, a numerical example is given to illustrate the effectiveness of the result proposed in this paper. |
| doi_str_mv | 10.1007/s11071-012-0603-z |
| format | Article |
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By using the Lyapunov–Krasovskii method and the stochastic analysis approach, a sufficient condition to ensure globally exponential stability for the stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is derived. Finally, a numerical example is given to illustrate the effectiveness of the result proposed in this paper.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-012-0603-z</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Classical Mechanics ; Control ; Control systems ; Dynamical Systems ; Engineering ; Markov processes ; Mechanical Engineering ; Neural networks ; Original Paper ; Stability analysis ; Switching theory ; Vibration</subject><ispartof>Nonlinear dynamics, 2012-11, Vol.70 (3), p.2107-2116</ispartof><rights>Springer Science+Business Media B.V. 2012</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2012). 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| source | SpringerLink Journals - AutoHoldings |
| subjects | Automotive Engineering Classical Mechanics Control Control systems Dynamical Systems Engineering Markov processes Mechanical Engineering Neural networks Original Paper Stability analysis Switching theory Vibration |
| title | Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching |
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