Stability analysis of hybrid multiconnected systems by the nonlinear approximation

A switched nonlinear complex system is studied. It is assumed that the corresponding isolated subsystems are generalized homogeneous of positive orders. An approach to a hybrid comparison equation constructing for the considered system is proposed. Classes of admissible switching laws are determined for which one can guarantee asymptotic stability of the zero solution of the complex system or entering solutions into an arbitrary given neighborhood of the origin.