In Ieee Transactions on Automatic Control
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چکیده
| We study uid analogues of a subclass of Petri nets, called Fluid Timed Event Graphs with Multipliers, which are a timed extension of weighted T-Systems studied in the Petri Net literature. These event graphs can be studied naturally, with a new algebra, analogous to the min-plus algebra, but deened on piecewise linear concave increasing functions, endowed with the pointwise minimum as addition, and the composition of functions as multiplication. A subclass of dynamical systems in this algebra, which have a property of homogeneity, can be reduced to standard min-plus linear systems after a change of counting units. We give a necessary and suucient condition under which a uid timed event graph with multipliers can be reduced to a uid timed event graph without multipliers. In the uid case, this class corresponds to the so-called expansible timed event graphs with multipliers of A. Munier, or to conservative weigthed T-systems. The change of variable is called here a potential. Its restriction to the transitions nodes of the event graph is a T-semiiow.
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Biographical notes: Tsan-Ming Choi is currently a Professor of Fashion Business at The Hong Kong Polytechnic University. He has published extensively in leading journals such as Automatica, IEEE Transactions on Automatic Control, IEEE Transactions on Engineering Management, IEEE Transactions on Industrial Informatics, Production and Operations Management, Naval Research Logistics, INFORMS Servi...
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تاریخ انتشار 1997