A language measure for performance evaluation of discrete-event supervisory control systems

Xi Wang; Asok Ray

doi:10.1016/j.apm.2003.12.003

A language measure for performance evaluation of discrete-event supervisory control systems

Xi Wang
, Asok Ray

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

This paper formulates a signed real measure of sublanguages of a regular language based on the principles of automata theory and real analysis. The measure allows total ordering of any set of partially ordered sublanguages of a regular language for quantitative evaluation of the controlled behavior of a deterministic finite-state automaton (DFSA) plant under different supervisors. The computational complexity of the language measure algorithm is polynomial in the number of DFSA states.

Original language	English (US)
Pages (from-to)	817-833
Number of pages	17
Journal	Applied Mathematical Modelling
Volume	28
Issue number	9
DOIs	https://doi.org/10.1016/j.apm.2003.12.003
State	Published - Sep 2004

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2003.12.003

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abstract = "This paper formulates a signed real measure of sublanguages of a regular language based on the principles of automata theory and real analysis. The measure allows total ordering of any set of partially ordered sublanguages of a regular language for quantitative evaluation of the controlled behavior of a deterministic finite-state automaton (DFSA) plant under different supervisors. The computational complexity of the language measure algorithm is polynomial in the number of DFSA states.",

author = "Xi Wang and Asok Ray",

note = "Funding Information: This work has been supported in part by Army Research Office (ARO) under Grant No. DAAD19-01-1-0646; and NASA Glenn Research Center under Grant Nos. NAG3-2448 and NNCO4GA49G. ",

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A language measure for performance evaluation of discrete-event supervisory control systems

Abstract

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