Relaxation of condition for convergence of dynamic regressor extension and mixing procedure

Abstract

A generalization of the dynamic regressor extension and mixing procedure is proposed. First of all, it relaxes the requirement of the regressor finite excitation, which is known to be the condition for the mentioned procedure convergence. Secondly, if the weaker requirement of the regressor semi-finite-excitation is met, it guarantees the uniform ultimate boundedness of the parameter error and elementwise monotonicity for transients of some parameters to be identified.Comment: 21 pages. In Russia