This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...
Abstract: In this article, we search for polynomial Lyapunov functions beyond the quadratic form to investigate the synchronization problems of nonlinearly coupled complex networks. First, with a ...
Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...
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Abstract: In this article, the stability analysis and control synthesis of interval type-2 (IT2) polynomial-fuzzy-model-based networked control systems are investigated under the event-triggered ...
In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most ...
This paper presents a new generating function for Hermite polynomials of one variable in theform of\(g(x,t)=\sum_{n=0}^{\infty }t^{n}H^{e}_{n}(x)\)and reveals its connection with incomplete gamma ...
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This Python-module provides functions to study the functional decomposition of univariate polynomials over a finite field. We have the following fundamental distinctions. where all exponents of the ...
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