Automatic and remote control III (Proc. Third Congr. Internat. Federation Automat. Control (IFAC), London, 1966) (19670101), Vol. 1,~p.~2, Paper 1{\rm E}, 11~pp..
Subject
93 Systems theory; control -- 93C Control systems 93C05 Linear systems
Author's summary: ``A matrix transfer function representation for linear multi-dimensional processes is investigated. The fundamental advantage of this representation over the state space approach is the fact that the real dimension of the process can be saved. The advantage over the conventional transfer matrix approach is that one-dimensional techniques can now be extended to the multi-dimensional case, despite the more general nature of the coefficients. The scalar conditions of stability are presented for some simple cases, the author's aim being essentially a discussion of the distinctions between the one-dimensional and the multi-dimensional domain. The connections between matric differential equations and quadratic performance indices are then derived. These connections are intimately related to the factorization problem of spectral density matrices. The author finally develops a general control technique using an on-line analogue model of the process matric transfer function, a technique already used with satisfaction in the one-dimensional case and applied to temperature control in power plants.'' \par \{For the entire collection see 0373664 above.\}