Discrete Wirtinger-based inequality and its application

• DOI: 10.1016/j.jfranklin.2015.02.004
• Publication Date: 2015-02-18T20:32:33Z
• Authors: Phan T. Nam; Pubudu N. Pathirana; H. Trinh
• Keywords: 0209 industrial biotechnology; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

In this paper, we derive a new inequality, which encompasses the discrete Jensen inequality. The new inequality is applied to analyze stability of linear discrete systems with an interval time-varying delay and a less conservative stability condition is obtained. Two numerical examples are given to show the effectiveness of the obtained stability condition.