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 constrained set. The main contribution of this solver is found simulating complex right-hand-sided ODEs for long periods of time.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Electrical Engineering

Department dc:contributor.department

Electrical and Computer Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2002

Author dc:creator

• Donolo, Marcos Angel

Chair dc:contributor.committeechair

• Kachroo, Pushkin

Committee members dc:contributor.committeemember

• Abbott, A. Lynn
• VanLandingham, Hugh F.

• IVPs
• ODEs
• hybrid systems
• event detection
• numerical analysis.
• Zeno effect
• control systems simulation

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-12092002-105032

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/36025