Stabilization under round-robin scheduling of control inputs in nonlinear systems

We study stability of multivariable control-affine nonlinear systems under sparsification feedback controllers. Given a stabilizing feedback, in our context refers to the scheduling individual control inputs one at time rapid periodic sweeps over set inputs, which corresponds round-robin scheduling. prove that if locally asymptotically controller is sparsified via scheme and each action scaled appropriately, then corresponding equilibrium resulting system stabilized when sufficiently fast; mild additional conditions, local asymptotic stabilization can also be guaranteed. Moreover, basin attraction for scheduled remains same as original fast switching Our technical tools are derived from optimal theory, results contribute literature on switched regime. Illustrative numerical examples depicting several subtle features included.