Control design and Lyapunov Functions via Bernstein Approximations: Exact Results

Author:

Hamadneh Tareq,Athanasopoulos Nikolaos,Wisniewski Rafael

Funder

Al-Zaytoonah University of Jordan

Publisher

Elsevier BV

Subject

Control and Systems Engineering

Reference28 articles.

1. Robust control.;Ackerman,1993

2. Linear relaxations of polynomial pos-itivity for polynomial lyapunov function synthesis;Ben Sassi;IMA Journal of Mathematical Control and Information,2015

3. Certificates of positivity in the Bernstein basis;Boudaoud;Discrete & Computational Geometry,2008

4. Triangular Bernstein-Bézier patches;Farin;Computer Aided Geometric Design,1986

5. On the numerical condition of polynomials in Bernstein form;Farouki;Computer Aided Geometric Design,1987

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1. The Bernstein Expansion for Rational Differentiable Functions in Newton Divided Differences Form;2023 International Conference on Information Technology (ICIT);2023-08-09

2. On the Optimization of Bi-variate Logarithmic Functions Using Bernstein-Lagrange Method;2023 International Conference on Information Technology (ICIT);2023-08-09

3. Bernstein Coefficients for Computing Rational Lyapunov and Control Functions of Dynamical Systems;Proceedings of the 2023 6th International Conference on Mathematics and Statistics;2023-07-14

4. Numerical optimization and positivity certificates for polynomials and rationals over simplices;Journal of Computational and Applied Mathematics;2022-11

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