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Kybernetika 39(2):123-128, 2003.

Rational Algebra and MM Functions.

Ray A. Cuninghame-Green


Abstract:

MM functions, formed by finite composition of the operators min, max and translation, represent discrete-event systems involving disjunction, conjunction and delay. The paper shows how they may be formulated as homogeneous rational algebraic functions of degree one, over (max, +) algebra, and reviews the properties of such homogeneous functions, illustrated by some orbit-stability problems.


Keywords: algebraic systems theory; discrete-event dynamic systems; asymptotic stability;


AMS: 93B27; 06F05;


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BIB TeX

@article{kyb:2003:2:123-128,

author = {Cuninghame-Green, Ray A.},

title = {Rational Algebra and MM Functions.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {2},

pages = {123-128}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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