Non-fragile sampled-data stabilization analysis for linear systems with probabilistic time-varying delays. Issue 8 (May 2019)

• Record Type: Journal Article
• Authors: Samidurai, R.; Sriraman, R.
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 8(2019)
• Page Start: 4335
• Page End: 4357
• Publication Date: 2019-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.11.046
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper deals with the problem of non-fragile sampled-data stabilization analysis for a class of linear systems with probabilistic time-varying delays via new double integral inequality approach. Based on the auxiliary function-based integral inequality (AFBII) and with the help of some mathematical approaches, a new double integral inequality (NDII) is developed. Then, to demonstrate the merits of the proposed inequality, an appropriate Lyapunov–Krasovskii functional (LKF) is constructed with some augmented delay-dependent terms. By employing integral inequalities, an enhanced stability criterion for the concerned system model is derived in terms of linear matrix inequalities (LMIs). Finally, three benchmark illustrative examples are given to validate the effectiveness and advantages of the proposed results.