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Terminal sliding mode control of master-slave system with Markovian jump parameters

The finite-time synchronization of master-slave system with Markovian jump parameters is investigated in this paper. An equivalent control based terminal sliding mode control is proposed to guarantee the finite-time convergence of error dynamics. By using stochastic theory and Lyapunov method, some conditions are proposed to facilitate the sliding surface design. Furthermore, a desired controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. Finally, numerical simulations are presented to illustrate the effectiveness of terminal sliding mode control scheme.