An Extension of the Argument Principle and Nyquist Criterion to Systems with Unbounded Generators

reportActive / Technical Report | Accession Number: ADA458806 | Open PDF

Abstract:

The Nyquist Stability Criterion is generalized to systems where the open-loop system has infinite-dimensional inputoutput spaces and a possibly unbounded infinitesimal generator. This is done through use of the perturbation determinant and an extension of the Argument Principle to infinitesimal generators with trace-class resolvent.

Author(s):
Fardad, Makan ; Bamieh, Bassam
Author Organization(s):
CALIFORNIA UNIV SANTA BARBARA DEPT OF MECHANICAL AND ENVIRONMENTAL ENGINEERING
Supplementary Note:
The original document contains color images. DOI: 10.21236/ADA458806
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
FA9550-04-1-0207, ECS-0323814
Monitor Series:
AFOSR/VA
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_6.3.3_Spectrum Management; JCA_5.3_Planning; JCA_6_Net Centric; JCA_6.3_Net Management; JCA_3.2_Engagement; JCA_3_Force Application; JCA_4.6_Engineering; JCA_8_Building Partnerships
Communities of Interest:
Air Platforms
Descriptor(s):
*INPUT OUTPUT PROCESSING, *PERTURBATION THEORY, *OPEN LOOP SYSTEMS, STABILITY, GENERATORS, INFINITE SERIES, EIGENVALUES
Field(s)/Group(s):
Numerical Mathematics, Computer Programming and Software, Computer Hardware
Keyword(s):
PROOF OF LEMMA, NYQUIST PATH
Report Date:
2006 Apr 17
Creation Date:
2007 Jan 03