DocumentCode :
853065
Title :
Sensitivities of stability constraints and their applications
Author :
Biernacki, R.
Author_Institution :
Texas A&M University, College Station, TX, USA
Volume :
31
Issue :
7
fYear :
1986
fDate :
7/1/1986 12:00:00 AM
Firstpage :
639
Lastpage :
642
Abstract :
Let the real polynomial 
with the coefficients being known differentiable functions 
be given and let the constraints 
determine the strictly Hurwitz property of the polynomial 
. A simple and efficient method to calculate the derivatives 
is proposed. Then, the application of the method to the problem of stability of polynomials under coefficient perturbation by gradient optimization is discussed. Also, a theorem characterizing the stability region and the newly introduced regions of nondestabilizing perturbations is given.
with the coefficients being known differentiable functions be given and let the constraints determine the strictly Hurwitz property of the polynomial . A simple and efficient method to calculate the derivatives is proposed. Then, the application of the method to the problem of stability of polynomials under coefficient perturbation by gradient optimization is discussed. Also, a theorem characterizing the stability region and the newly introduced regions of nondestabilizing perturbations is given.Keywords :
Gradient methods; Sensitivity; Stability; Artificial intelligence; Automatic control; Control systems; Gradient methods; Optimization methods; Polynomials; Stability criteria;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104348
Filename :
1104348
Link To Document :
