DocumentCode :
813532
Title :
Instability of feedback systems by orthogonal decomposition of 
2
Author :
Takeda, Shoich ; Bergen, Arthur R.
Author_Institution :
Mitsubishi Electric Corporation, Amagasaki, Japan
Volume :
18
Issue :
6
fYear :
1973
fDate :
12/1/1973 12:00:00 AM
Firstpage :
631
Lastpage :
636
Abstract :
A useful method for investigating the L2 instability of the feedback interconnection of a linear unstable subsystem 
and a nonlinear stable subsystem 
is to resolve L2 into two orthogonal spaces on the basis of the input-output behavior of . This yields insight and permits simple proofs of various instability counterparts to stability theorems.
and a nonlinear stable subsystem is to resolve L . This yields insight and permits simple proofs of various instability counterparts to stability theorems.Keywords :
Interconnected systems; Linear systems, time-invariant continuous-time; Nonlinear systems, continuous-time; Stability; Computer industry; Electronics industry; Hilbert space; Industrial electronics; Laboratories; Stability; State feedback;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1973.1100449
Filename :
1100449
Link To Document :
