Finite‐time boundedness and <i>L</i> ₂ ‐gain analysis for switched nonlinear systems via periodically intermittent control

Abstract This note focuses on finite‐time boundedness and finite‐time weighted ‐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 ‐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.