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STABILITY OF ORBITS IN AUTOMATA AND CONTROL THEORIES

Name: STABILITY OF ORBITS IN AUTOMATA AND CONTROL THEORIES
Creator: M.W. Warner
Keywords: 0209 industrial biotechnology, tolerance automata, tolerance stability, Formal languages and automata, Control/observation systems in abstract spaces, 02 engineering and technology, 0101 mathematics, Topological dynamics, continuity, 01 natural sciences

Stability of orbits in automata and control theories

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1981Publisher:EmeraldJournal:Kybernetes, volume 10, pages 99-103 (issn: 0368-492X,

Authors: M.W. Warner;

doi: 10.1108/eb005581

STABILITY OF ORBITS IN AUTOMATA AND CONTROL THEORIES

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Abstract

The rapprochement suggested by Arbib between continuity in control theory and tolerance in the theory of automata is discussed with reference to orbits, and in particular to the proof of Takens' version of Zeeman's tolerance stability conjecture. The corresponding result for tolerance automata is established.

Related Organizations

Northampton Community College
United States

Keywords

tolerance automata, tolerance stability, Formal languages and automata, Control/observation systems in abstract spaces, Topological dynamics, continuity

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