NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Hamiltonian indices and rational spectral densitiesSeveral (global) topological properties of various spaces of linear systems, particularly symmetric, lossless, and Hamiltonian systems, and multivariable spectral densities of fixed McMillan degree are announced. The study is motivated by a result asserting that on a connected but not simply connected manifold, it is not possible to find a vector field having a sink as its only critical point. In the scalar case, this is illustrated by showing that only on the space of McMillan degree = /Cauchy index/ = n, scalar transfer functions can one define a globally convergent vector field. This result holds both in discrete-time and for the nonautonomous case. With these motivations in mind, theorems of Bochner and Fogarty are used in showing that spaces of transfer functions defined by symmetry conditions are, in fact, smooth algebraic manifolds.
Document ID
19820042047
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Byrnes, C. I.
(Harvard University Cambridge, MA, United States)
Duncan, T. E.
(Harvard University Cambridge, MA; Kansas, University, Lawrence, KS, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
Theoretical Mathematics
Meeting Information
Meeting: Conference on Decision and Control
Location: Albuquerque, NM
Start Date: December 10, 1980
End Date: December 12, 1980
Accession Number
82A25582
Funding Number(s)
CONTRACT_GRANT: NSG-2265
CONTRACT_GRANT: N00014-75-C-0648
CONTRACT_GRANT: AF-AFOSR-77-3177
CONTRACT_GRANT: NSF ENG-79-09459
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available