Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays.
Zhu, Quanxin, Cao, Jinde (2009)
Discrete Dynamics in Nature and Society
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Zhu, Quanxin, Cao, Jinde (2009)
Discrete Dynamics in Nature and Society
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Zhou, Jianting, Song, Qiankun, Yang, Jianxi (2009)
Abstract and Applied Analysis
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Zhu, Enwen, Wang, Yong, Wang, Yueheng, Zhang, Hanjun, Zou, Jiezhong (2010)
Journal of Inequalities and Applications [electronic only]
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Huang, Chuangxia, Huang, Lehua, He, Yigang (2010)
Discrete Dynamics in Nature and Society
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Yin, Lizi, Fu, Xilin (2011)
Advances in Difference Equations [electronic only]
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Chinnamuniyandi Maharajan, Chandran Sowmiya, Changjin Xu (2024)
Kybernetika
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This paper investigates the stability in an exponential sense of complex-valued Bidirectional Associative Memory (BAM) neural networks with time delays under the stochastic and impulsive effects. By utilizing the contracting mapping theorem, the existence and uniqueness of the equilibrium point for the proposed complex-valued neural networks are verified. Moreover, based on the Lyapunov - Krasovskii functional construction, matrix inequality techniques and stability theory, some novel...
Huang, Chuangxia, Yang, Xinsong, He, Yigang, Huang, Lehua (2011)
Discrete Dynamics in Nature and Society
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Zhu, Enwen, Zhang, Hanjun, Zou, Jiezhong (2010)
Journal of Inequalities and Applications [electronic only]
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Chen, Yonggang, Bi, Weiping, Wu, Yuanyuan (2008)
Discrete Dynamics in Nature and Society
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Lin Jun Wang, You Xiang Xie, Zhou Chao Wei, Jian Peng (2015)
Kybernetika
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In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
Bo Du, Yurong Liu, Dan Cao (2017)
Kybernetika
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By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing...