Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching

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
Hauptverfasser: Gao, Yan, Zhou, Wuneng, Ji, Chuan, Tong, Dongbing, Fang, Jian’an
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Classical Mechanics
Control
Control systems
Dynamical Systems
Engineering
Markov processes
Mechanical Engineering
Neural networks
Original Paper
Stability analysis
Switching theory
Vibration
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Zusammenfassung: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-012-0603-z