Stability analysis and control design of singular Markovian jump systems via a parameter-dependent reciprocally convex matrix inequality
作者：
Highlights：
• A PDRCMI is constructed, which covers the existing ones without adding extra variables.
• The system decomposition approach is employed to decompose SMJSs with mode-dependent derivative coefficient into differential equations and algebraic ones, and state vectors of the systems are divided into two parts. To reduce redundant decision variables, each part of the state vectors is considered independently to construct a special augmented LKF.
• Sate feedback controllers-based on slow subsystem state is solved.
摘要
•A PDRCMI is constructed, which covers the existing ones without adding extra variables.•The system decomposition approach is employed to decompose SMJSs with mode-dependent derivative coefficient into differential equations and algebraic ones, and state vectors of the systems are divided into two parts. To reduce redundant decision variables, each part of the state vectors is considered independently to construct a special augmented LKF.•Sate feedback controllers-based on slow subsystem state is solved.
论文关键词：Parameter-dependent reciprocally convex matrix inequality,System decomposition approach,Singular Markovian jump system,Mode-dependent derivative coefficient,Time-varying delay
论文评审过程：Received 12 February 2020, Revised 21 May 2020, Accepted 14 June 2020, Available online 29 June 2020, Version of Record 29 June 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125471
