Problem of on-line continuous-time estimation of parameters of polyharmonic function

The problem of on-line continuous-time estimation of parameters of a polyharmonic function is considered. The problem given is a classical problem of systems theory which, when solved, can find wide practical application in self-learning of robotic systems and adaptive noise damping systems. Solution of this problem is based on a strategy of self-learning and an algorithm of the approximation of the unknown periodic functional dependencies. The analytical conditions of existence of the solution are presented.