Finite-time boundedness and L2-gain analysis for switched nonlinear systems via periodically intermittent control

This note focuses on finite-time boundedness and finite-time weighted L2-gain problems of switched nonlinear systems by virtue of periodically intermittent control. In the framework of periodically intermittent control, sufficient conditions are established to guarantee the resultant closed-loop switched nonlinear systems are both finite-time bounded and exhibit a finite-time weighted L2-gain. The proof procedures are implemented successfully resorting to piecewise Lyapunov functions. These conditions are cast into a convex optimization problem and thus can be handled effectively through linear matrix inequality. Finally, numerical simulations are employed to verify the efficiency of the proposed methods.