THE GREATEST SOLUTION IN THE INEQUALITY OF K X X LX WITH K 2 ISnn;L 2 ISnn;X 2 ISnm ARE A COMPLETE IDEMPOTENT SEMIRINGS OF INTERVAL

https://doi.org/10.22146/jmt.56567

Eka Susilowati(1*)

(1) Universitas PGRI Adi Buana Surabaya
(*) Corresponding Author

Abstract


The greatest solution of an inequality K
X X LX to solve the optimal
control problem for P-Temporal Event Graphs, which is to nd the optimal control that
meets the constraints on the output and constraints imposed on the adjusted model prob-
lem (the model matching problem). We give the greatest solution K
X X L X
and X H with K; L;X;H matrices whose are entries in a complete idempotent semir-
ings. Furthermore, the authors examine the existence of a sucient condition of the
projector in the set of solutions of inequality K
X X L X with K; L;X matrix
whose entries are in the complete idempotent semiring. Projectors can be very necessary
to synthesize controllers in manufacturing systems that are constrained by constraints
and some industrial applications. The researcher then examines the requirements for
the presence of the greatest solution was called projector in the set of solutions of the
inequality K
X X L X with K; L;X matrices whose are entries in an complete
idempotent semiring of interval. Researchers describe in more detail the proof of the
properties used to resolve the inequality K
X X L X. Before that, we give
the greatest solution of the inequality K
X X LX and X G with K; L;X;G
matrices whose are entries in an complete idempotent semiring of interval


Keywords


Complete idempotent semirings, projector, max plus algebra, complete idem- potent semiring of intervals, greatest solution.

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DOI: https://doi.org/10.22146/jmt.56567

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