Optimizing a particular real root of a polynomial by a special cylindrical algebraic decomposition

DOI10.1007/S11786-011-0090-5zbMath1253.26025OpenAlexW2089013648MaRDI QIDQ691649

Hirokazu Anai, Masaaki Kanno, Silvia Gandy

Publication date: 3 December 2012

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/12553

zbMATH Keywords

cylindrical algebraic decomposition (CAD)maximal real rootnumber-of-roots (NoR)-invarianceoptimization of a real root

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Real polynomials: location of zeros (26C10) Linear optimal control problems (49N05)

Uses Software

• QEPCAD

Cites Work

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• Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem
• An adjacency algorithm for cylindrical algebraic decompositions of three- dimensional space
• Linear Matrix Inequalities in System and Control Theory
• QEPCAD B
• Sum of roots with positive real parts
• Best tracking and regulation performance under control energy constraint

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