Comment on ‘Observer-based finite-time control of time-delayed jump systems’

This paper investigates a defect appearing in ‘Observer‐based finite‐time control of time‐delayed jump systems’, which the observer‐based finite‐time ${\mathcal{H}}_{\infty }$ controller via state feedback could not ensure stochastic finite‐time boundedness and stochastic finite‐time stabilization with the prescribed ${\mathcal{H}}_{\infty }$ control index of the resulting closed‐loop Markov jump systems. The corrected results are given and the improved optimal algorithms and new simulation results are also presented in this paper.