Title page for ETD etd-12092002-105032

Type of Document Master's Thesis
Author Donolo, Marcos Angel
Author's Email Address mdonolo@vt.edu
URN etd-12092002-105032
Title An ODE solver for constrained state spaces: with applications to hybrid-system simulations
Degree Master of Engineering
Department Electrical and Computer Engineering
Advisory Committee
Advisor Name Title
Kachroo, Pushkin Committee Chair
Abbott, A. Lynn Committee Member
VanLandingham, Hugh F. Committee Member
  • IVPs
  • ODEs
  • hybrid systems
  • event detection
  • numerical analysis.
  • Zeno effect
  • control systems simulation
Date of Defense 2002-11-22
Availability unrestricted
This thesis presents a solver to handle constrained-state-space ODEs. This solver locates the points where any of the states go outside of the constraining set, and then, transfers the control from the continuous time ODE to the function governing the behavior of the system on the boundaries of the constrained set. The main contribution of this solver is found simulating complex right-hand-sided ODEs for long periods of time.
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