Global finite-time stabilization for a class of switched nonhomogeneous positive systems via impulsive control

This paper studies the global finite-time stabilization problem for a type of switched nonhomogeneous positive nonlinear systems using impulsive control. Based on positive system theory and impulsive control technology, we introduce suitable impulsive inputs at switching points and design a class of stabilizing impulses coupled with maximum dwell-time (MDT) conditions, under which the considered system is globally finite-time stable. Meanwhile, the upper bound of settling-time function can be derived under MDT conditions, which uncovers the relationship among impulse intensity, initial value and control frequency. Finally, an example is presented to verify our result.