Resumen de Auxiliary function-based summation inequalities and their applications to discrete-time systems

Xin-Ge Liu-, Feng-Xian Wang, Mei San Tang

• Abstract Auxiliary function-based summation inequalities are addressed in this technical note. By constructing appropriate auxiliary functions, several new summation inequalities are obtained. A novel sufficient criterion for asymptotic stability of discrete-time systems with time-varying delay is obtained in terms of linear matrix inequalities. The advantage of the proposed method is demonstrated by two classical examples from the literature.