Natural states and past-determinism of general time systems

Macko, Donald

doi:10.1016/s0020-0255(71)80019-1

Cited by 11 publications

(2 citation statements)

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“…The set theoretic approaches, including the papers of Mesarovic [25], Salovaara [32], Macko [23], [24], Windeknecht [37] and Zadeh [39], 40], take the state as an equivalence class of inputs which in some sense generalizes the Krohn-Rhodes theory of automata 19], 20]. The set theoretic approaches, including the papers of Mesarovic [25], Salovaara [32], Macko [23], [24], Windeknecht [37] and Zadeh [39], 40], take the state as an equivalence class of inputs which in some sense generalizes the Krohn-Rhodes theory of automata 19], 20].…”

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confidence: 99%

State in Hilbert Space

Saeks¹

1973

SIAM Rev.

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Resolution space, recently introduced for the study of causality in an operator theoretic setting, is employed to formulate an abstract state concept which generalizes the state space theory commonly used in the study of finite-dimensional dynamical systems. After formulating the state concept as an operator factorization and verifying the existence of a family of transition operators on the resultant state space, the integral representation for operators on a resolution space is employed to develop "convolution-like" formulas for the state of an operator resulting from a specified excitation and an operator factorization theorem. The theory is illustrated via a study of stability and the state optimal control problem in the resolution space context.

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confidence: 99%

State in Hilbert Space

Saeks¹

1973

SIAM Rev.

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“…A cause may thus be likened to a function, an analogy we [4] have borrowed from Cassirer [1] and the general systems theorists, e.g. Macko [8]. A function supplies a value for each argument in its domain.…”

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confidence: 99%

The Causation Recipe

Freundlich

1977

Dialogue

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In a Recent article [9], Alexander Rosenberg attacks the “manipulative” view of causation as being unilluminating and as being beset with difficulties. As a proponent of that view [3], I have felt it necessary to take up cudgels in its defence.Rosenberg's criticisms are directed at Gasking's version of this view [5]. Gasking's recipe for causation is, “one says ‘A causes B’ in cases where one could produce an event of the A sort as a means to producing one of the B sort” (p. 485). Here it is taken for granted that we have general manipulative techniques for producing events of the A sort and that this is implicitly assumed when one speaks of A as a cause. There is one qualification to this formula for causes which arises from the necessity for individuating processes, namely, that, for A to be the cause of B, it must not always lead to B (for then the technique for producing A would also be a B-producing one), but only in special cases.

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Learning Control of Multimodal Systems by Fuzzy Automata

Asai

Kitajima

1971

Pattern Recognition and Machine Learning

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Natural states and past-determinism of general time systems

Cited by 11 publications

References 4 publications

State in Hilbert Space

State in Hilbert Space

The Causation Recipe

Learning Control of Multimodal Systems by Fuzzy Automata

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