On-line input identification and Active Noise Cancellation: an overview of recent results

In this talk we give an overview of a recent method we proposed for the solution of the on-line deconvolution problem, which can be applied to Active Noise Cancellation.The method has been applied to finite dimensional systems and to distributed systems both in input-output and in state space representation.We show an application of this method to the case of a non-fickian model of diffusion. Non-fickian diffusion is modelled by a partial differential equation with infinite delay. This same equation with memory is encountered in viscoelastic materials and in heat diffusion with memory.The “Concluding remarks” section summarizes the results and discusses few problems which have not yet been studied.