Feedback Stabilization for the Distributed Parameter Switched System with Neumann Boundary Condition

By constructing Lyapunov functions and employing linear matrix inequality(LMI),a number of sufficient conditions for a class of distributed parameter switch systems(DPSSs) with Neumann boundary conditions of stabilization are derived.These conditions are described by a group of linear matrix inequalities,so the state feedback stabilization of DPSS is transformed into the feasible solution problem of a group of LMIs.In addition,the state feedback controllers can be efficiently solved by Matlab LMI toolbox.Finally,a numerical example shows the validity of the proposed design method.