Journal ArticleDOI
Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
Yanqing Liu,Wansheng Tang +1 more
TLDR
In this paper, the global stability of delayed fuzzy cellular neural networks with either constant delays or time varying delays is investigated and a suitable Lyapunov functional is constructed to guarantee the global exponential stability.About:
This article is published in Physics Letters A.The article was published on 2004-03-22. It has received 157 citations till now. The article focuses on the topics: Exponential stability & Equilibrium point.read more
Citations
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Journal ArticleDOI
Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays
Kun Yuan,Jinde Cao,Jianming Deng +2 more
TL;DR: Employing linear matrix inequality and general Lyapunov-Krasovskii functional, the global exponential stability and the existence of periodic solutions are studied for fuzzy cellular neural networks with time-varying delays in this paper.
Journal ArticleDOI
Exponential stability of fuzzy cellular neural networks with distributed delay
TL;DR: Stability is considered for a class of fuzzy cellular neural networks with distributed delay and exponential stability is obtained with finite distributed delay, while asymptotic stability is obtaining with infinite distributed delay.
Journal ArticleDOI
Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks
Quanxin Zhu,Xiaodi Li +1 more
TL;DR: This paper investigates a class of stochastic fuzzy delayed Cohen-Grossberg neural networks and proves that fuzzy systems do have more advantages than non-fuzzy systems and almost sure exponential stability under suitable conditions.
Journal ArticleDOI
Impulsive Effects on Stability of Fuzzy Cohen–Grossberg Neural Networks With Time-Varying Delays
Qiankun Song,Jinde Cao +1 more
TL;DR: The obtained results show that the stability still remains under certain impulsive perturbations for the continuous stable FCGNNs with time-varying delays, but also present an approach to stabilize the unstable FCGnns withTime-vARYing delays by utilizing impulsive effects.
Journal ArticleDOI
Adaptive control for fractional order induced chaotic fuzzy cellular neural networks and its application to image encryption
TL;DR: An image encryption algorithm is proposed by considering the FOFCNN as pseudo-random number generator (PRNG), which outperforms the existing encryption algorithms and ensures the global asymptotic and exponential stability are derived in a novel manner.
References
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Book
Nonnegative Matrices in the Mathematical Sciences
TL;DR: 1. Matrices which leave a cone invariant 2. Nonnegative matrices 3. Semigroups of non negative matrices 4. Symmetric nonnegativeMatrices 5. Generalized inverse- Positivity 6. M-matrices 7. Iterative methods for linear systems 8. Finite Markov Chains
Journal ArticleDOI
Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
Jinde Cao,Jun Wang +1 more
TL;DR: Several new sufficient conditions for ascertaining the existence, uniqueness, and global asymptotic stability of the equilibrium point of such recurrent neural networks are obtained by using the theory of topological degree and properties of nonsingular M-matrix, and constructing suitable Lyapunov functionals.
Journal ArticleDOI
The global stability of fuzzy cellular neural network
Tao Yang,Lin-Bao Yang +1 more
TL;DR: In this article, the global stability of fuzzy cellular neural networks (FCNNs) is investigated and conditions under which a FCNN has only one globally stable equilibrium point are given.
Proceedings ArticleDOI
Fuzzy cellular neural networks: theory
TL;DR: The basic theory of FCNN is presented, a generalization of CNN by using fuzzy operations in the synaptic law calculation allowing us to combine the low level information processing capability of CNNs with the high level informationprocessing capability of fuzzy systems.
Proceedings ArticleDOI
Fuzzy cellular neural networks: applications
TL;DR: This paper presents some typical applications of FCNN, such as gray-scale mathematical morphology and fuzzy inference edge detection, and a generalization of CNN by using fuzzy operations in the synaptic law calculation.