Mixed ℋ∞ and ℒ2 — ℒ∞ Anti-synchronization Control for Chaotic Delayed Recurrent Neural Networks

This paper deals with the issue of mixed ℋ ∞ and ℒ 2 — ℒ ∞ anti-synchronization control for chaotic delayed recurrent neural networks with unknown parameters and stochastic noise. By means of the Lyapunov- Krasovskii functional method and some stochastic analysis techniques, an adaptive controller strategy is proposed to guarantee the mixed ℋ ∞ and ℒ 2 — ℒ ∞ anti-synchronization of the drive and response systems. When there is no stochastic noise, it is shown that the present control strategy is less conservative and less complex than a previously reported adaptive control method. Finally, a numerical example is employed to illustrate the applicability of the proposed adaptive control strategy.