Lyapunov matrix‐based method to global robust practical exponential r‐stability for a class of delayed continuous‐time nonlinear systems: Theory and applications

Abstract

This article involves the problem of global robust practical exponential r-stability for a class of delayed continuous-time nonlinear systems. By proposing a method based on Lyapunov matrix, a global robust practical exponential r-stability criterion of the considered systems is established. The criteria are expressed as uncomplicated linear matrix inequalities. Therefore, standard calculation software can be used for verification. In addition, the proposed method is applied to the practical stabilization problem of three-state turbocharged diesel engine model, and a good control effect is obtained.