The goal of this research is to establish a nonlinear dynamical systems theory for modeling and analysis of real-time distributed scheduling in heterarchical manufacturing systems. Major research issues include continuous feedback control topologies for multiple machine configurations, nonlinear dynamical models that characterize behavior of general multiple-machine configurations, and analysis of system dynamics including state trajectories, stability, steady-state values, convergence properties, and robustness. Distribution of control in manufacturing is of increasing interest, and modeling distributed manufacturing systems using differential equations presents an opportunity to improve understanding of the behavior of these systems and to establish confidence in their application by industry.
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