Published June 2003
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A general averaging theory via series expansions
Abstract
This paper generalizes averaging theory to arbitrary order by synthesizing series expansion methods for nonlinear time-varying vector fields and their flows with nonlinear Floquet theory. A companion paper uses these results to construct exponentially stabilizing controllers for underactuated nonlinear systems.
Additional Information
© 2003 IEEE. This work was supported in part by the National Science Foundation through Engineering Research Center grant NSF9402726.Attached Files
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Additional details
Identifiers
- Eprint ID
- 77585
- Resolver ID
- CaltechAUTHORS:20170518-133519912
Funding
- NSF
- EEC-9402726
Dates
- Created
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2017-05-18Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field