Adaptive filtering for unknown genetic regulatory networks with disturbance attenuation

In this paper, the adaptive filtering problem for unknown genetic regulatory networks with disturbance attenuation is investigated based on Lyapunov method and adaptive techniques. A new regulatory network and several adaptive laws are designed to ensure the stochastic stability of the error states between the unknown and the estimated networks. The designed adaptive laws are independent of the unknown system states and parameters, where the only required information is the structure of the network. A simulation example is given to verify the theoretical results.