Numerical optimization and positivity certificates for polynomials and rationals over simplices

Author:

Hamadneh Tareq,Abu-Falahah Ibraheem,Alqudah Mohammad

Funder

Deutsche Gesellschaft für Internationale Zusammenarbeit

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference24 articles.

1. Lyapunov stability analysis and controller design for rational polynomial systems using sum of squares programming;Vatani,2017

2. Robust Control;Ackerman,1993

3. On the stability and control of nonlinear dynamical systems via vector Lyapunov functions;Nersesov;IEEE Trans. Automat. Control,2006

4. Control design and Lyapunov functions via Bernstein approximations: Exact results;Hamadneh;IFAC-PapersOnLine,2020

5. Algorithm for Bernstein polynomial control design;Hamadneh;IFAC-PapersOnLine,2018

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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. Optimal design of $ PI^\rho D^\mu $-controller for artificial ventilation systems for COVID-19 patients;AIMS Mathematics;2023

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