Abstract
This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.
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