Dissipative filtering for singular Markov jump systems with generally uncertain transition rates via new integral inequality approach. Issue 15 (October 2018)

• Record Type: Journal Article
• Authors: Fu, Lei; Ma, Yuechao
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 15(2018)
• Page Start: 7354
• Page End: 7383
• Publication Date: 2018-10
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.07.023
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper considers the problem of dissipative filtering problem for singular Markov jump systems with time-varying delay and generally uncertain transition rates. Firstly, by tuning the improved integral inequality and Wirtinger-based integral inequalities, a sufficient condition is derived to guarantee that the considered system is regular, impulse-free, stochastically stable with the dissipation performance. Then, based on the derived condition, and applying linear matrix inequalities (LMIs) techniques, the filter is synthesized. Finally, some numerical examples are given to illustrate the effectiveness of the obtained theoretic results.