Author_Institution :
Electr. Dept., Warsaw Univ. of Technol., Warsaw, Poland
Abstract :
A new notion of a 2D (P,Q,V)-cone system is introduced. Necessary and sufficient conditions for the existence of a realization of a given proper transfer matrix are established. A procedure is proposed for computation of a realization of a given transfer matrix of the 2D (P,Q,V)-cone system. It is shown that there exists a realization of the transfer matrix T(z1,z2) of a 2D (P,Q,V)-cone system if and only if there exists a positive realization of T̅ (z1,z2)=VT(z1,z2)Q-1, where V, Q and P are nonnegative matrices generating the cones V, Q, and P.
Keywords :
controllability; linear systems; matrix algebra; 2D (P,Q,V)-cone system; nonnegative matrices; transfer matrix; Aerospace electronics; Controllability; Delays; Linear systems; Standards; Sufficient conditions; Transfer functions;
