Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential synchronization control law in terms of linear matrix
نویسنده
چکیده
This paper investigates the problem of exponential synchronization for a class of master-slave systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential synchronization control law in terms of linear matrix inequalities. The controller guarantees the ∞ H synchronization of the two coupled master and slave systems regardless of their initial states. A numerical example is given to show the effectiveness of the method.
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