Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
Data(s) |
01/12/2015
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Resumo |
Abstract<br />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.<br /> |
Identificador | |
Idioma(s) |
eng |
Publicador |
Elsevier |
Relação |
DP130101532 http://dro.deakin.edu.au/eserv/DU:30079795/trinh-discreteinequalities-2015.pdf http://www.dx.doi.org/10.1016/j.jfranklin.2015.09.018 http://www.sciencedirect.com/science/article/pii/S0016003215003816 |
Direitos |
2015, Elsevier |
Tipo |
Journal Article |