TY - GEN
T1 - A generalized eigenmode algorithm for reducible regulå matrices over the max-plus algebra
AU - Königsberg, Zvi Retchkiman
PY - 2009
Y1 - 2009
N2 - In this paper an algorithm for computing a generalized eigenmode of reducible regulå matrices over the max-plus algebra is proposed. Given a matrix of finite size, the problem consists in giving an algorithm which will tell us how to compute its generalized eigenmode over the max plus algebra. The solution to the problem is achieved by studying some type of recurrent equations. In fact, by transforming the reducible regulå matrix into its normal form, and considering a very specific recurrent equation, an explicit mathematical chåacterization is obtained, upon which the algorithm is constructed.
AB - In this paper an algorithm for computing a generalized eigenmode of reducible regulå matrices over the max-plus algebra is proposed. Given a matrix of finite size, the problem consists in giving an algorithm which will tell us how to compute its generalized eigenmode over the max plus algebra. The solution to the problem is achieved by studying some type of recurrent equations. In fact, by transforming the reducible regulå matrix into its normal form, and considering a very specific recurrent equation, an explicit mathematical chåacterization is obtained, upon which the algorithm is constructed.
KW - Algorithm
KW - Eigenmode
KW - Max-plus algebra
KW - Recurrent equations
KW - Reducible matrices
UR - http://www.scopus.com/inward/record.url?scp=70449378860&partnerID=8YFLogxK
U2 - 10.1109/CCDC.2009.5195195
DO - 10.1109/CCDC.2009.5195195
M3 - Contribución a la conferencia
AN - SCOPUS:70449378860
SN - 9781424427239
T3 - 2009 Chinese Control and Decision Conference, CCDC 2009
SP - 5598
EP - 5603
BT - 2009 Chinese Control and Decision Conference, CCDC 2009
T2 - 2009 Chinese Control and Decision Conference, CCDC 2009
Y2 - 17 June 2009 through 19 June 2009
ER -