An ODE solver for constrained state spaces: with applications to hybrid-system simulations

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...

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Bibliographic Details
Main Author: Donolo, Marcos Angel
Other Authors: Electrical and Computer Engineering
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/36025
http://scholar.lib.vt.edu/theses/available/etd-12092002-105032/
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spelling ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-360252020-09-29T05:41:34Z An ODE solver for constrained state spaces: with applications to hybrid-system simulations Donolo, Marcos Angel Electrical and Computer Engineering Kachroo, Pushkin Abbott, A. Lynn VanLandingham, Hugh F. IVPs ODEs hybrid systems event detection numerical analysis. Zeno effect control systems simulation 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. Master of Science 2014-03-14T20:49:11Z 2014-03-14T20:49:11Z 2002-11-22 2002-12-09 2003-12-12 2002-12-12 Thesis etd-12092002-105032 http://hdl.handle.net/10919/36025 http://scholar.lib.vt.edu/theses/available/etd-12092002-105032/ etd.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ application/pdf Virginia Tech
collection NDLTD
format Others
sources NDLTD
topic IVPs
ODEs
hybrid systems
event detection
numerical analysis.
Zeno effect
control systems simulation
spellingShingle IVPs
ODEs
hybrid systems
event detection
numerical analysis.
Zeno effect
control systems simulation
Donolo, Marcos Angel
An ODE solver for constrained state spaces: with applications to hybrid-system simulations
description 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. === Master of Science
author2 Electrical and Computer Engineering
author_facet Electrical and Computer Engineering
Donolo, Marcos Angel
author Donolo, Marcos Angel
author_sort Donolo, Marcos Angel
title An ODE solver for constrained state spaces: with applications to hybrid-system simulations
title_short An ODE solver for constrained state spaces: with applications to hybrid-system simulations
title_full An ODE solver for constrained state spaces: with applications to hybrid-system simulations
title_fullStr An ODE solver for constrained state spaces: with applications to hybrid-system simulations
title_full_unstemmed An ODE solver for constrained state spaces: with applications to hybrid-system simulations
title_sort ode solver for constrained state spaces: with applications to hybrid-system simulations
publisher Virginia Tech
publishDate 2014
url http://hdl.handle.net/10919/36025
http://scholar.lib.vt.edu/theses/available/etd-12092002-105032/
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