The Lyapunov stability theory in system identification

A new identification framework is developed for some long-standing problems. The convergence conditions of the process parameters: identification are explored from the Lyapunov stability theory, and this paper applies the second method toward a unified treatment of the convergence of the identification process. Precise and straightforward identification technique is offered. We place the Lyapunov-based identification methodology on firm mathematical foundations for solution of the identification problems. Our results and technique are extended to a larger class of nonlinear control processes. As applications of the results, the unknown parameters for a highly nonlinear servo-system actuated by permanent-magnet DC motor are found.