An Algebraic Approach to Analysis and Control of Time-Scales.

reportActive / Technical Report | Accession Number: ADA135115 | Open PDF

Abstract:

The structure of time-scales in systems of the form x Aepsilonx is related to the invariant factors of Aepsilon when this matrix is over the ring of functions analytic at 0. This relationship motivates the study of invariant factor assignment in the matrix Aepsilon Bepsilon Kepsilon by choice of Kepsilon. Results on this problem have implications for assignment of timescales by state feedback in systems of the form x Aepsilonx Bepsilonu. Work in this direction is presented. Author

Author(s):
Lou, X. C. ; Verghese, G. C. ; Willsky, A. S. ; Vidyasagar, M.
Author Organization(s):
MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
Descriptive Note:
Technical rept.,
Supplementary Note:
Prepared in cooperation with Waterloo Univ. (Ontario). Dept. of Electrical Engineering. DOI: 10.21236/ADA135115
Pagination:
0015

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
LIDS-P-1335, AFOSR-TR-83-0954
Contract/Grant Number(s):
AFOSR-82-0258
Task Number(s):
A1
Project Number(s):
2304
Monitor Series:
TR-83-0954
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1_Force Support; JCA_5.3_Planning
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*SCALING FACTOR, *TIME, *LINEAR SYSTEMS, *ALGEBRA, APPROACH, MATRICES(MATHEMATICS), PERTURBATIONS, INVARIANCE, FEEDBACK, TRANSFORMATIONS(MATHEMATICS), DECOMPOSITION
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*Time scales, PE61102F, WUAFOSR2304A1
Report Date:
1983 Oct 01