THEORY OF RELATIVELY CLOSED SYSTEMS WITH ELEMENTS EXHIBITING LINEAR BEHAVIOUR—PART II

Abstract

In Part I of this article equations have been developed describing the behaviour of general deterministic systems. These lines of thought are followed up below, and are especially applied to systems the elements of which exhibit linear behaviour. By applying Laplace transform theory, it is established that matrix products determining the system behaviour, the operations of which were to be interpreted symbolically in Part I, are no longer symbolic. It is also shown how a future system behaviour may be obtained as the convolution of vectors, depending on initial values, and a system weight function matrix, depending entirely on structural properties of the system and on element behaviour.

Citation

GRUBBSTRÖM, R.W. (1972), "THEORY OF RELATIVELY CLOSED SYSTEMS WITH ELEMENTS EXHIBITING LINEAR BEHAVIOUR—PART II", Kybernetes, Vol. 1 No. 3, pp. 139-147. https://doi.org/10.1108/eb005303