Continuity and change (activity) are fundamentally related in DEVS simulation of continuous systems

Authors:
Bernard P. Zeigler;Rajanikanth Jammalamadaka;Salil R. Akerkar
Affiliations:
Arizona Center for Integrative Modeling and Simulation, Department of Electrical and Computer Engineering, University of Arizona, Tucson, Arizona;Arizona Center for Integrative Modeling and Simulation, Department of Electrical and Computer Engineering, University of Arizona, Tucson, Arizona;Arizona Center for Integrative Modeling and Simulation, Department of Electrical and Computer Engineering, University of Arizona, Tucson, Arizona
Venue:
AIS'04 Proceedings of the 13th international conference on AI, Simulation, and Planning in High Autonomy Systems
Year:
2004

Citing 3
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Abstract

The success of DEVS methods for simulating large continuous models calls for more in-depth examination of the applicability of discrete events in modeling continuous phenomena. We present a concept of event set and an associated measure of activity that fundamentally characterize discrete representation of continuous behavior. This metric captures the underlying intuition of continuity as well as providing a direct measure of the computational work needed to represent continuity on a digital computer. We discuss several application possibilities beyond high performance simulation such as data compression, digital filtering, and soft computation. Perhaps most fundamentally we suggest the possibility of dispensing with the mysteries of traditional calculus to revolutionize the prevailing educational paradigm.