International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 69093, 11 pages
doi:10.1155/2007/69093

Generalized persistency of excitation

Sergey Nikitin

Department of Mathematics and Statistics, Arizona State University, Tempe 85287-1804, AZ, USA

Abstract

The paper presents the generalized persistency of excitation conditions. Not only they are valid for much broader range of applications than their classical counterparts but also they elegantly prove the validity of the latter. The novelty and the significance of the approach presented in this publication is due to employing the time averaging technique.