Global finite-time stabilization of a class of switched nonlinear systems in non-triangular form

This article investigates the global finite-time stabilization (GFS) for a class of switched nonlinear systems in non-triangular form, whose subsystems have chained integrators with the powers of positive odd rational numbers (i.e., numerators and denominators of the powers are all positive odd integers). All subsystems are not assumed to be stabilizable. Based on the technique of adding a power integrator and the multiple Lyapunov function (MLF) method, both the global finite-time stabilizers of individual subsystems and a switching law are systematically constructed to guarantee GFS of the closed-loop switched nonlinear system. A numerical example is provided to illustrate the effectiveness of the proposed method.