Email this article Use of polynomials in localization problems for continuous dynamical systems
- Authors: Kanatnikov A.N.1,2, Ramazanova K.M.1,2
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Affiliations:
- Bauman Moscow State Technical University
- Institute for Systems Analysis
- Issue: Vol 52, No 12 (2016)
- Pages: 1557-1562
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154187
- DOI: https://doi.org/10.1134/S001226611612003X
- ID: 154187
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Abstract
We study polynomials as localizing functions in localization problems. To obtain a nontrivial localizing set, we use the property of sign definiteness of a polynomial. We obtain necessary and sufficient conditions for the sign definiteness of polynomials as well as conditions under which the level surfaces of a polynomial are compact.
About the authors
A. N. Kanatnikov
Bauman Moscow State Technical University; Institute for Systems Analysis
Author for correspondence.
Email: skipper@bmstu.ru
Russian Federation, Moscow; Moscow
Kh. M. Ramazanova
Bauman Moscow State Technical University; Institute for Systems Analysis
Email: skipper@bmstu.ru
Russian Federation, Moscow; Moscow
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