Stability and dissipativity analysis for uncertain Markovian jump systems with random delays via new approach. Issue 8 (11th June 2019)

• Record Type: Journal Article
• Authors: Samidurai, R.; Sriraman, R.; Zhu, Song
• Is Part Of: International journal of systems science. Volume 50:Issue 8(2019)
• Page Start: 1609
• Page End: 1625
• Publication Date: 2019-06-11
• Subjects: Markovian jump systems -- Lyapunov-Krasovskii functional -- dissipativity analysis -- random delays -- integral inequalities; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1618942
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper studies the problem of stability and dissipativity analysis for uncertain Markovian jump systems (UMJSs) with random time-varying delays. Based on the auxiliary function-based integral inequality (AFBII) and with the help of some mathematical tools, a new double integral inequality (NDII) is developed. Then, to show the efficiency of the proposed inequality, a suitable Lyapunov-Krasovskii functional (LKF) is constructed with augmented delay-dependent terms. By employing integral inequalities, new delay-dependent sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are given to show the effectiveness and less conservatism of the results.