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On Solving Systems of Bivariate Polynomials
2010Solving systems of bivariate polynomials is a critical operation: curves plotting, curves topology, parametric systems, general solvers which are recursive on the number of variables, etc. Several strategies currently exist from numerical algorithms (bisections for example, interval arithmetic) to general rewriting methods (Gröbner bases, triangular ...
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam
exaly
Polynomial Controller Synthesis for Uncertain Large-Scale Polynomial T–S Fuzzy Systems
IEEE Transactions on Cybernetics, 2021Van-Phong Vu, Wen-June Wang
exaly
Hypergeometric systems with polynomial bases
2008Summary: We prove that any simplicial or parallelepipedal hypergeometric configuration admits a Puiseux polynomial basis in its solution space for suitable values of its parameters.
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Analysis and design of polynomial control systems using dissipation inequalities and sum of squares
Computers and Chemical Engineering, 2006Frank Allgöwer, Christian Ebenbauer
exaly