Title :
Response bounds for asymptotically stable time-invariant linear dynamical systems
Author :
Nicholson, David W.
Author_Institution :
Naval Surface Weapons Center, White Oak, Silver Spring, MD, USA
fDate :
6/1/1982 12:00:00 AM
Abstract :
A theorem of Strang [1] is extended to provide the best possible lower eigenvalue bound for a certain positive semidefinite matrix. The results are then applied to several asymptotically stable time-invariant linear systems. Some cases in which the bounds become infinite are discussed.
Keywords :
Asymptotic stability, linear systems; Damping; Eigenvalues and eigenfunctions; Frequency; Linear systems; Mechanical systems; Protection; Singular value decomposition; Springs; US Government; Weapons;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1102993
