Max-Plus Algebra >> Max-Plus Algebra > maxplussys

maxplussys

Max-plus algebra evolusi system x(k+1)=A⊗x(k), k = 0,1,2 3,⋯

Calling Sequence

[X] = maxplussys(A,x0,q)

Parameters

A: : square input matrix
q: : a positive integer
x0: : input initial vektor

Description

This function returns X, that equals

[ x(0) x(1) x(2) ⋯ x(q) ]

that satisfy x(k+1)=A⊗x(k), k=0,1,2,3,⋯

Examples

A  = [2.  -%inf    8.    2.    9.;
      6.  -%inf  -%inf    8.    8.;
      8.  -%inf    6.    1.    5.;
      0.    2.    5.    3.    10.;
      7.    4.  -%inf  -%inf    6.]; 

x0 =[0;0;0;0;0];
p=6;

[X]=maxplussys(A,x0,p)
X  =
 
    0.    9.     16.    25.    32.    41.    48.  
    0.    8.     18.    25.    34.    41.    50.  
    0.    8.     17.    24.    33.    40.    49.  
    0.    10.    17.    26.    33.    42.    49.  
    0.    7.     16.    23.    32.    39.    48.

Authors

Subiono