This paper is concerned with the problem of mode-dependent robust and non-fragile finite-time control for a class of nonlinear singular Markovian jump systems (NSMJSs) with parameter uncertainties and time-varying norm-bounded disturbance. Some sufficient conditions ensuring the singular stochastic finite-time boundedness (SSFTB) are developed for the given system by using the stochastic analysis and linear matrix inequality techniques. Then, a finite-time state feedback controller is designed, which can guarantee the finite-time boundedness of the closed-loop systems. Furthermore, a robust and non-fragile finite-time state feedback controller is also provided to ensure the finite-time boundedness of the closed-loop systems when the controller gain has an additive perturbation. Finally, two numerical examples are given to illustrate the effectiveness of the obtained results.
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