Dissipative filtering for singular Markovian jump systems with generally hybrid transition rates

Highlights：

• The GHTRs are considered, which relax the traditional assumption in MJSs that estimate error must be completely symmetric. Such a TR covers the existing TR types as its special cases, which leads to more general and practical models.

• A double-boundary approach is proposed to deal with GHTRs, which can make full use of the GHTRs so as to loosen the conservatism.

摘要

•A Wirtinger-type free-matrix-based integral inequality (WFMII) is proposed. The slack matrices introduced in WFMII are all coupled by time-varying delay, which makes up the gap of FMBII under utilization on slack matrices. These lead to less conservative results.•The GHTRs are considered, which relax the traditional assumption in MJSs that estimate error must be completely symmetric. Such a TR covers the existing TR types as its special cases, which leads to more general and practical models.•A double-boundary approach is proposed to deal with GHTRs, which can make full use of the GHTRs so as to loosen the conservatism.

论文关键词：Singular markovian jump systems,Generally hybrid transition rates,Wirtinger-type free-matrix-based integral inequality,Double-boundary approach,Dissipative filtering

论文评审过程：Received 8 February 2021, Revised 25 May 2021, Accepted 29 June 2021, Available online 12 July 2021, Version of Record 12 July 2021.