Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
Nam, P.T., Trinh, H. and Pathirana, P.N. 2015, Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems, Journal of the Franklin Institute, vol. 352, no. 12, pp. 5810-5831, doi: 10.1016/j.jfranklin.2015.09.018.
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Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
Abstract This paper presents new discrete inequalities for single summation and double summation. These inequalities are based on multiple auxiliary functions and include the Jensen discrete inequality and the discrete Wirtinger-based inequality as special cases. An application of these discrete inequalities to analyse stability of linear discrete systems with an interval time-varying delay is studied and a less conservative stability condition is obtained. Three numerical examples are given to show the effectiveness of the obtained stability condition.
010203 Calculus of Variations, Systems Theory and Control Theory 010204 Dynamical Systems in Applications 090602 Control Systems, Robotics and Automation
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