Linear systems with structure group and their feedback invariantsA general method described by Hermann and Martin (1976) for the study of the feedback invariants of linear systems is considered. It is shown that this method, which makes use of ideas of topology and algebraic geometry, is very useful in the investigation of feedback problems for which the classical methods are not suitable. The transfer function as a curve in the Grassmanian is examined. The general concepts studied in the context of specific systems and applications are organized in terms of the theory of Lie groups and algebraic geometry. Attention is given to linear systems which have a structure group, linear mechanical systems, and feedback invariants. The investigation shows that Lie group techniques are powerful and useful tools for analysis of the feedback structure of linear systems.
Document ID
19780039966
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Martin, C. (Harvard University Cambridge, Mass., United States)
Hermann, R. (NASA Ames Research Center Moffett Field, Calif.; Harvard University, Cambridge, Mass., United States)