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
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