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Finite Automata Models

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Estimation and Inference in Discrete Event Systems

Abstract

This chapter provides an introduction to the theory of finite automata, including deterministic and nondeterministic models. We discuss state transition functions, valid sequences of inputs, and languages generated by automata, as well as compositions of automata. The chapter also introduces different observation models, i.e., automata with outputs, such as Moore automata and labeled automata, and establishes the notation used when developing state estimation and event inference algorithms in the remainder of the book.

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References

  • Arbib MA (ed) (1968) Algebraic theory of machines, languages, and semigroups. Academic Press, New York

    Google Scholar 

  • Arbib MA (1969) Theories of abstract automata. Prentice-Hall, Englewood Cliffs, New Jersey

    MATH  Google Scholar 

  • Booth TL (1968) Sequential machines and automata theory. Wiley, New York

    MATH  Google Scholar 

  • Cassandras CG, Lafortune S (2007) Introduction to discrete event systems. Springer

    Google Scholar 

  • Ginzburg A (1968) Algebraic theory of automata. Academic Press, New York

    MATH  Google Scholar 

  • Hopcroft JE (2008) Introduction to automata theory, languages, and computation. Pearson Education

    Google Scholar 

  • Kohavi Z (1978) Switching and finite automata theory. McGraw-Hill, New York

    MATH  Google Scholar 

  • Rosen KH (2011) Discrete mathematics and its applications. McGraw-Hill, New York

    Google Scholar 

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Correspondence to Christoforos N. Hadjicostis .

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Hadjicostis, C.N. (2020). Finite Automata Models. In: Estimation and Inference in Discrete Event Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-30821-6_3

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