An Improved Reciprocally Convex Inequality and its Application to Time-Varying Delay Systems

• Zerong Ren ^[1] ; Junkang Tian ^[1]
  1. [1] Zunyi Normal University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • This paper studies the stability of systems with a time-varying delay. Firstly, an improved reciprocally convex inequality is introduced which includes some existing inequalities as special cases. Secondly, a new stability criterion is obtained in terms of linear matrix inequalities (LMIs) by using the improved reciprocally convex inequality. Finally, two numerical examples are provided to show the effectiveness of the presented method.