Tareq Hamadneh
ABSTRACT
In this paper, we address the Bernstein expansion of rational polynomial continuous dynamical systems over simplices. We consider rational Lyapunov functions and controllers both expanded into rational Bernstein form. Rational control functions are optimized by the smallest and largest rational Bernstein coefficients of maximum degree. Bounds for certifying the existence of rational functions in the monomial and Bernstein forms are given. Subsequently, the maximum degree of Bernstein basis is sufficiently optimized.
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Cross Ref
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- Tareq Hamadneh and Rafael Wisniewski. 2018. Algorithm for Bernstein Polynomial Control Design. IFAC-PapersOnLine 51, 16 (2018), 283–289.Google ScholarCross Ref
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Index Terms
- Bernstein Coefficients for Computing Rational Lyapunov and Control Functions of Dynamical Systems
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