System Theoretic Foundations for Modelling Physical Systems
In this paper we will outline the main ideas of an axiomatic approach to the modelling of dynamical systems. This approach differs from the usual one in that the input/output, i.e., the cause/effect relationship is not assumed to be given a priori. More details on the theoretical developments and examples from physics may be found in . These ideas are here applied to time-reversibility, where it is shown how one may deduce the existence of a time-reversing involution on the state space.
KeywordsState Space Axiomatic Approach State Space Form External Behavior Minimal Realization
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