Extended dissipative control for singular Markovian jump systems with time-varying delays

This paper deals with the issue of extended dissipative control for singular Markovian jump systems (SMJS) with time-varying delays. The Lyapunov-Krasovskii (L-K) functional method is applied to obtain sufficient conditions to ensure that the singular Markovian jumping system with time-varying delays is stochastically admissible and extended dissipative. A desired memory state feedback controller (MSFC) based on observer can be constructed based on these criteria to guarantee stochastic admissibility and extended dissipativity for a closed-loop system. An oil catalytic cracking process (OCCP) is taken as an example to prove the correctness of the results.