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Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
- Source :
- PLoS ONE, PLoS ONE, Vol 9, Iss 4, p e93838 (2014)
- Publication Year :
- 2014
- Publisher :
- Public Library of Science, 2014.
-
Abstract
- In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method.
- Subjects :
- Computer and Information Sciences
Time Factors
Neural Networks
Computer science
Imaginary part
lcsh:Medicine
Biochemistry
Synchronization
Control theory
Cellular neural network
Synchronization (computer science)
Computer Simulation
Stochastic neural network
lcsh:Science
Computational Neuroscience
Regulatory Networks
Multidisciplinary
Artificial neural network
Time delay neural network
Discrete Mathematics
Systems Biology
lcsh:R
Linear matrix inequality
Biology and Life Sciences
Computational Biology
Sensory Systems
Computational Systems
Nonlinear system
Recurrent neural network
Discrete time and continuous time
Physical Sciences
lcsh:Q
Neural Networks, Computer
Types of artificial neural networks
Network Analysis
Mathematics
Algorithms
Research Article
Neuroscience
Subjects
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 9
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- PLoS ONE
- Accession number :
- edsair.doi.dedup.....9a42ff4c70fb075c399aa3dbe320475e