Abstract
This paper presents a theoretical design of how a minimax equilibrium of differential game is achieved in stochastic cellular neural networks. In order to realize the equilibrium, two opposing players are selected for the model of stochastic cellular neural networks. One is the vector of external inputs and the other is the vector of internal noises. The design procedure follows the nonlinear H infinity optimal control methodology to accomplish the best rational stabilization in probability for stochastic cellular neural networks, and to attenuate noises to a predefined level with stability margins. Three numerical examples are given to demonstrate the effectiveness of the proposed approach.
Original language | English (US) |
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Pages (from-to) | 110-117 |
Number of pages | 8 |
Journal | Neural Networks |
Volume | 26 |
DOIs | |
State | Published - Feb 2012 |
All Science Journal Classification (ASJC) codes
- Cognitive Neuroscience
- Artificial Intelligence
Keywords
- Differential minimax game
- Hamilton-Jacobi-Bellman equation
- Lyapunov function
- Stochastic cellular neural networks
- Stochastic stability