Identification with non-quadratic Lyapunov function and new adaptive laws

For an identification problem, the authors present a non-quadratic Lyapunov function and new adaptive laws, which use a new signal, the cube of the system estimation error signal e³, as opposed to the ordinary estimation/identification error e. The performance of these techniques in a typical adaptive system is promising. Simulation results show that these adaptive laws yield improved performance, along with the assurance of Lyapunov stability