Remarks on differential stability of nonlinear systems

Tryphon T Georgiou

Research output: Contribution to journalConference articlepeer-review

Abstract

Following up on our earlier work in [2] we discuss a generalization of the framework to encompass systems with inputs and outputs taking values on differential manifolds with no underlying linear structure. In this case, external disturbances are thought of as taking values in the group of diffeomorphism of these manifolds. We deal with the special case where the input/output manifolds are Lie groups. The stability of a feedback interconnection relates to a geometric decomposition of the input-output manifold by the graphs of plant and controller.

Original languageEnglish (US)
Pages (from-to)646-647
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - Dec 1 1994
EventProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA
Duration: Dec 14 1994Dec 16 1994

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