EQUIVALENT REALIZATIONS OF LINEAR SYSTEMS

Some basic system concepts and definitions are briefly reviewed; class of '%'constant rank'%' system representations is introduced; it is shown that members of this class have canonical structure whose components are also of constant rank and that dimensions of these components can be computed explicitly from given system coefficient matrices and finite number of their derivatives; complete equivalence characterization is developed for constant rank systems; based on this characterization it is shown that minimal zero-state equivalent of specified constant rank system representation can be constructed without solving differential equations.