Abstract
The problem of exponential stability non-fragile control for uncertain systems with time-varying delay is considered in this paper. Based on the Lyapunov stability theorem, and by using linear matrix inequality approach, a new approach is obtained to design the state feedback exponential stability non-fragile controller. By introducing a new Lyapunov functional, a sufficient exponential stability condition is given in terms of linear matrix inequality. With the non-fragile controller and the linear matrix inequality Control Toolbox in MATLAB, the simulation results are easier obtained.
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