Exponential H ∞ filtering for switched neural networks with mixed delays

The study focuses on the exponential H ∞ filtering problem of biological neural nets (BNNs). By considering some realistic factors including delays, disturbance and topology changes, the well-known leaky integrate-and-fire model is modified as a switched neural network so that function of a single neuron is identified via the H ∞ filtering instead of biological experimental methods. With the aid of average dwell time method, we provide a delay-dependent sufficient condition, under which the designed filter for the function of every individual neuron in BNNs satisfies H ∞ noise attenuation and exponential stability. Moreover, the design of such a filter is converted into a convex optimisation problem, which can be easily solved by using standard numerical software. Finally, two examples are given to show the effectiveness of the proposed method.