By Topic

Sensitivities of stability constraints and their applications

Sign In

Full text access may be available.

To access full text, please use your member or institutional sign in.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Biernacki, R. ; Texas A&M University, College Station, TX, USA

Let the real polynomial (a(s) = a_{0} + a_{1}s + ... + a_{n}s^{n} with the coefficients being known differentiable functions a_{k}(x) be given and let the constraints g_{i}(x) > 0 determine the strictly Hurwitz property of the polynomial a(s) . A simple and efficient method to calculate the derivatives \partial g_{i}(x)/\partial x_{j} 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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 7 )