Abstract
The realizability problem in the dynamical systems theory is concerned with the existence of a family of state transition functions for a given response function (e.g., weighting pattern for the case of linear systems) meaning that the latter can be realized by a dynamical system. The results giving realizability conditions are well known for the continuous differential equations systems [see, e.g., 1, 2]. The objective of this paper is to present a general realization theory which will cover not only nonlinear systems but also those systems that are not necessarily continuous or even defined on the topological spaces. Actually, the results reported represent yet another step in the development of a mathematical theory of general systems following a program outlined earlier [3–5 ]. Consistent with that program the concept of a general dynamical system is introduced using minimal mathematical structure and the realizability theory is developed as such on a general level.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
