## STATE SPACE
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"Any n-dimensional space containing points representing the state description… of a system".

This formal definition has been given by M. TODA and M. SHUFORD (1965, p.26).

R. ROSEN clarifies the concept as follows: "The totality of all possible states of the system, meaning the totality of different aspects the system can assume for us at an instant of time, forms a set called the state space of the system" (1972, p.50).

T. F. H. ALLEN and T. STARR consider more specifically the observer's viewpoint and describe as follows the state space: "A mode of description of system behavior where, at each point in time, the system is described by the position of a point inside a space the dimensions of which are axes relating to the various systems attributes expressed as states (as opposed to derivatives)" (1982, p.278).

An interesting point: The state space is actually a space-time frame.

F. HEYLIGHEN gives a shortened definition of the state space: "The set of all possible states (of the system)" (1990a, p.426).

### Categories

- 1) General information
- 2) Methodology or model
- 3) Epistemology, ontology and semantics
- 4) Human sciences
- 5) Discipline oriented

### Publisher

Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

* Bertalanffy Center for the Study of Systems Science (2020).* Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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