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Optimal Control on Non-Compact Lie Groups: A Projection Operator Approach

Title
Optimal Control on Non-Compact Lie Groups: A Projection Operator Approach
Type
Article in International Conference Proceedings Book
Year
2010
Authors
Alessandro Saccon
(Author)
Other
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John Hauser
(Author)
Other
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Conference proceedings International
Pages: 7111-7116
49th IEEE Conference on Decision and Control (CDC)
Atlanta, GA, DEC 15-17, 2010
Scientific classification
FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering
Other information
Authenticus ID: P-003-DG3
Abstract (EN): Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanical systems. In this paper, we develop the mathematical machinery needed for projection operator based trajectory exploration and optimization (optimal control) for systems defined on non-compact Lie groups.
Language: English
Type (Professor's evaluation): Scientific
Contact: asaccon@isr.ist.utl.pt; john.hauser@colorado.edu; pedro@isr.ist.utl.pt
No. of pages: 6
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