Identification of IIR Nonlinear Systems without Prior Structural Information

In this paper, we propose a kernel method for identification of infinite impulse response (IIR) nonlinear systems without prior structural information. The main result of the paper is to establish the conditions for asymptotic convergence in terms of the input to output exponential stability. The performance of the method is tested on real world applications and computer simulations. The results obtained show the efficacy of the method.