In this study, the real-time (R-T) reachable set control problem for neutral singular Markov jump system (NSMJS) with mixed delays and bounded disturbance is studied under non-zero initial conditions. Firstly, with the help of the free-weighting matrix method and Lyapunov stability theory, sufficient conditions for R-T reachable set control of NSMJS are given by employing linear matrix inequality technique. Secondly, the controller gains of the closed-loop system are obtained by means of the matrix decoupling method. Finally, the effectiveness of the proposed method is verified by a direct current (DC) motor drive system with practical application background.
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Zhang et al. (2021) studied this question.
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