Yuri Bazilevich (Institute of Continuing Special Education, Pridneprovsk State University of Civil Engineering, Dnipropetrovsk, Ukraine)

Hierarchic decoupling and symmetry of discrete linear system

Interrelation between possibility of coefficient matrices reduction to a partitioned-triangular form (hierarchic decoupling) and existence of a symmetry group is considered. We prove that nontrivial hierarchic decoupling is possible in two cases: either existence of non-compact group of symmetry or existence of only conditional symmetry.