Accession Number : AD0779732

Title :   Sensitivity Analysis in Multilinear Systems.

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR SYSTEMS ENGINEERING LAB

Personal Author(s) : Porter,William A. ; DeSantis,Romano M.

Report Date : DEC 1973

Pagination or Media Count : 41

Abstract : The primary objective of this study is to examine the sensitivity properties of a multilinear plant embedded in a feedback structure. As a prelude the existing linear theory is summarized and extended. The bilinear case is then treated in detail. Extrapolation to the multilinear case is carried out in Appendix B. New results include the following. (1) the use of causality structure as a component of sensitivity analysis in closed loop linear and nonlinear systems, (2) the establishment of terminal equivalence conditions for multilinear plants and multilinear compensators, (3) the development of a sensitivity operator in the multilinear setting including existence conditions, (4) extensions of linear results to large parameter perturbations. (Author)

Descriptors :   *Control theory, Linear systems, Nonlinear systems, Feedback, Hilbert space, Perturbations, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE