Inverse optimal noise‐to‐state stabilization of stochastic recurrent neural networks driven by noise of unknown covariance
Ziqian Liu, Qunjing Wang, Henri Schurz · Optimal Control Applications and Methods · 2008
Abstract In this paper, we extend our previous research results regarding the stabilization of recurrent neural networks from the concept of input‐to‐state stability to noise‐to‐state stability, and present a new approach to achieve noise‐to‐state stabilization in probability for stochastic recurrent neural networks driven by the noise of unknown covariance. This approach is developed by using the Lyapunov technique, inverse optimality, differential game theory, and the Hamilton–Jacobi–Isaacs equation. Numerical examples demonstrate the effectiveness of the proposed approach. Copyright © 2008 John Wiley & Sons, Ltd.