Finite-time boundedness and extended passive analysis for fuzzy Markov jump systems with saturation

In this work, the problem of extended passive-based finite-time control is studied for Takagi-Sugeno fuzzy Markov jump systems with actuator saturation over a finite horizon. The focus is on the design of a mode-dependent non-fragile controller such that the resulting closed-loop system is stochastically finite-time bounded and extended passively. Specifically, by using the mode-dependent Lyapunov-Krasovskii functional technique and Abel lemma-based finite sum inequality, a sufficient condition is established to ensure the finite-time bounded of the addressed systems. Finally, the feasibility and effectiveness of the proposed design are verified and demonstrated by a simulation example.