TY - GEN

T1 - Second order theory of min-linear systems and its application to discrete event systems

AU - Cohen, Guy

AU - Gaubert, Stephane

AU - Nikoukhah, Ramine

AU - Quadrat, Jean Pierre

PY - 1991/12/1

Y1 - 1991/12/1

N2 - A second-order theory for linear systems over the (min,+)-algebra is developed. In particular, the classical notion of correlation is extended to this algebraic structure. It turns out that if timed event graphs are modeled as linear systems in this algebra, this notion of correlation can be used to study stocks and sojourn times, and thus to characterize internal stability (boundedness of stocks and sojourn times). This theory relies heavily on the algebraic notion of residuation.

AB - A second-order theory for linear systems over the (min,+)-algebra is developed. In particular, the classical notion of correlation is extended to this algebraic structure. It turns out that if timed event graphs are modeled as linear systems in this algebra, this notion of correlation can be used to study stocks and sojourn times, and thus to characterize internal stability (boundedness of stocks and sojourn times). This theory relies heavily on the algebraic notion of residuation.

UR - http://www.scopus.com/inward/record.url?scp=0026397424&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026397424

SN - 0780304500

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1511

EP - 1516

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers

T2 - Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)

Y2 - 11 December 1991 through 13 December 1991

ER -