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A Dioid Linear Algebraic Model for a Class of Hybrid Event Graphs
Author(s) -
Zhang Duan,
Dai Huaping,
Sun Youxian
Publication year - 2005
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500130307
Subject(s) - petri net , algebraic number , event (particle physics) , security token , class (philosophy) , set (abstract data type) , computer science , mathematics , state (computer science) , discrete mathematics , algorithm , programming language , artificial intelligence , mathematical analysis , physics , computer security , quantum mechanics
Hybrid Event Graphs (HEGs), a subclass of Hybrid Petri Nets, are extensions of Timed Event Graphs and Timed Event Multi‐graphs. A set of dioid linear algebraic equations will be inferred as a novel method of analysis a special class of HEG, if we treat the numbers of firings for discrete transitions and the cumulated amount of consumed token for continuous transitions as state‐variables. As a new modelling approach, it clearly illustrates characteristics of both discrete events and continuous events. Based on the algebraic model, the analyses and controls of HEG are more convenient. An example of optimal control is demonstrated.