Summary
In this paper, exponential stabilization for nonlinear coupled dynamical systems by considering sampled‐data controller and impulsive controller with input constraints is investigated. Based on polytopic representation approach, some linear matrix inequalities are established to guarantee local exponential stabilization of nonlinear coupled dynamical systems. Moreover, by using polytopic differential inclusion, for the case of the partial input saturation involving in the impulsive controller, we also obtain several sufficient conditions ensuring local exponential stabilization. Finally, three examples are presented to show the effectiveness of theoretical analysis.
The problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller is investigated in the paper. Using B-equivalence approach, some sufficient conditions are provided such that every solution of considered systems intersects each impulsive surface exactly once. Then, combining with the inequality technique and comparison principle, some meaningful sufficient criteria are obtained to ensure the mean square stability of T-S fuzzy stochastic dynamical networks.Compared to related results, the results obtained in the paper are low conservatism and easy to verify. Finally, two numerical simulations based on Rössler's system and Lorenz system show the effectiveness of the obtained theoretical results.
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