DocumentCode
819616
Title
Global stability of two linearly interconnected nonlinear systems
Author
McClamRoch, Harris N. ; Ianculesc, George D.
Author_Institution
University of Michigan, Ann Arbor, MI, USA
Volume
20
Issue
5
fYear
1975
fDate
10/1/1975 12:00:00 AM
Firstpage
678
Lastpage
682
Abstract
Simple and easy to use conditions are developed which guarantee global stability of two linearly interconnected nonlinear systems. The conditions consist of two scalar frequency response conditions of Popov type on the linear dynamical subsystems and inequalities involving the sector bounds and parameters in the problem; the inequalities have a simple graphical interpretation in terms of the product of the interconnection coefficients. Examples with particular numerical values are presented to illustrate application of the results.
Keywords
Interconnected systems; Nonlinear systems, continuous-time; Popov stability; Stability; Differential equations; Feedback; Frequency response; Information analysis; Interconnected systems; Military computing; Nonlinear systems; Stability; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1975.1101048
Filename
1101048
Link To Document