Stability of Limit Cycles in Hybrid Systems Limit cycles are common in hybrid systems. However the non-smooth dynamics of such systems makes stability analysis difficult. We have been using recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of non-smooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. Period-doubling bifurcations have been explored in these latter cases.
Many transport industries have much in common with power systems.
This proposal seeks to address basic issues that may provide a common framework in terms of analysis, synthesis and optimization of transport networks. Transport systems typically involve distributed agents that are forced to share some common resources. The agents associated with many transport industries exhibit continuous dynamics. However the scheduling of the agents involves discrete events. This project focuses on the modeling and analysis of such hybrid systems that typify transport industries.