摘要:The linear control hybrid system, consisting of a -nite set of subsystems (modes) having different dimensions, isconsidered. The moments of reset time are determined by somecomplementary function { evolutionary time. This function sa-tises the special complementary ordinary differential equation.The mode stabilization problem is solved for some class of piece-wise linear controls. The method of stabilization relies on the setof invariant planes, the existence of which is due to the specialform of the hybrid system.