abstractThe authors present an adaptive identification method (AIM) primarily for adaptive control systems with insufficient persistent excitation. In this paper, the matrix P(t-l) resetting, a new forgelling factorλ(1), remembering units, and a weighted filtering algorithm are proposed. The AIM technique, using a modified least squares algorithm, is presented in terms of the previously mentioned procedures. Theoretical analyses and simulation results demonstrate that the proposed methodology can overcome the bursting problems thaI sometimes exisl in adaptive control systems.