Bernstein Coefficients for Computing Rational Lyapunov and Control Functions of Dynamical Systems-Reference-Cited by-同舟云学术

Bernstein Coefficients for Computing Rational Lyapunov and Control Functions of Dynamical Systems

Published:2023-07-14 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 2023 6th International Conference on Mathematics and Statistics
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Author:

Hamadneh Tareq¹^ORCID,Abu-Falahah Ibraheem²^ORCID,Hamadneh Mohammad D.³^ORCID,Zraiqat Amjed²^ORCID

Affiliation:

1. Mathematics/ IT/M, Al Zaytoonah University of Jordan, Jordan

2. Mathematics, Al Zaytoonah University of Jordan, Jordan

3. Mathematics, Jordan University of Science and Technology, Jordan

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3613347.3613365

Reference13 articles.

1. Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis

2. Tareq Hamadneh Ibraheem Abu-Falahah and Mohammad AlQudah. 2022. Numerical optimization and positivity certificates for polynomials and rationals over simplices. J. Comput. Appl. Math. (2022) 114430. Tareq Hamadneh Ibraheem Abu-Falahah and Mohammad AlQudah. 2022. Numerical optimization and positivity certificates for polynomials and rationals over simplices. J. Comput. Appl. Math. (2022) 114430.

3. Tareq Hamadneh , Nikolaos Athanasopoulos , and Mohammed Ali . 2019 . Minimization and Positivity of the Tensorial Rational Bernstein Form. In 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology (JEEIT). IEEE, 474–479 . Tareq Hamadneh, Nikolaos Athanasopoulos, and Mohammed Ali. 2019. Minimization and Positivity of the Tensorial Rational Bernstein Form. In 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology (JEEIT). IEEE, 474–479.

4. Control design and Lyapunov Functions via Bernstein Approximations: Exact Results