Ordered Structures of Polynomials over Max-Plus Algebra
نویسندگان
چکیده
منابع مشابه
Max-plus algebra
The max-plus semiring Rmax is the set R∪{−∞}, equipped with the addition (a, b) 7→ max(a, b) and the multiplication (a, b) 7→ a + b. The identity element for the addition, zero, is −∞, and the identity element for the multiplication, unit, is 0. To illuminate the linear algebraic nature of the results, the generic notations +, , × (or concatenation), 0 and 1 are used for the addition, the sum, ...
متن کاملEigenvectors of interval matrices over max-plus algebra
The behaviour of a discrete event dynamic system is often conveniently described using a matrix algebra with operations max and plus Such a system moves forward in regular steps of length equal to the eigenvalue of the system matrix if it is set to operation at time instants corresponding to one of its eigenvectors However due to imprecise measurements it is often unappropriate to use exact mat...
متن کاملComputer Tools For Linear Systems Over Max-Plus Algebra
The dynamics analysis for linear systems described by state-space representations in max-plus algebra is addressed within the context of the software facilities offered by the Petri Net Toolbox (PN Toolbox) running under MATLAB. By developing this toolbox, the application field of the MATLAB environment (extremely popular among control engineers) is considerably enlarged towards covering event ...
متن کاملOn Some Properties of the Max Algebra System Over Tensors
Recently we generalized the max algebra system to the class of nonnegative tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and i...
متن کاملMax-Plus algebra on tensors and its properties
In this paper we generalize the max plus algebra system of real matrices to the class of real tensors and derive its fundamental properties. Also we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverses of tensors is characterized.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: 2073-8994
DOI: 10.3390/sym13071137