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

• Autores: Xin-Ge Liu-, Feng-Xian Wang, Mei San Tang
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 78, 2017, págs. 211-215
• Idioma: inglés
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• Resumen

  • 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.