DocumentCode :
837772
Title :
On the existence of positive diagonal 
such that 
such that Author :
Khalil, Hassan K.
Author_Institution :
Michigan State University, East Lansing, MI, USA
Volume :
27
Issue :
1
fYear :
1982
fDate :
2/1/1982 12:00:00 AM
Firstpage :
181
Lastpage :
184
Abstract :
Given a real square matrix 
we address the question: Does there exist a positive diagonal matrix such that 
is negative definite? We present an algorithm which when applied to gives a definite yes or no answer to this question. If the answer is yes, the algorithm will provide one such .
we address the question: Does there exist a positive diagonal matrix such that is negative definite? We present an algorithm which when applied to gives a definite yes or no answer to this question. If the answer is yes, the algorithm will provide one such .Keywords :
Bilinear systems; Discrete-time systems; Eigenvalues and eigenfunctions; Interconnected systems; Iterative algorithms; Linear programming; Lyapunov method; Minimax techniques; Stability; Sufficient conditions; Systems engineering and theory; Testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1102855
Filename :
1102855
Link To Document :
