Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control

DOI10.1137/S036301299935657XzbMath0955.14038OpenAlexW2041734651MaRDI QIDQ4507408

Jan Verschelde, Birkett Huber

Publication date: 18 October 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s036301299935657x

zbMATH Keywords

control theoryGrassmannianenumerative geometryquantum Schubert calculusnumerical Schubert calculuscombinatorial root countdynamic pole placement problemPieri homotopy

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Geometric methods (93B27) Pole and zero placement problems (93B55) Grassmannians, Schubert varieties, flag manifolds (14M15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (5)

Solving determinantal systems using homotopy techniques ⋮ Numerical Evidence for a Conjecture in Real Algebraic Geometry ⋮ Real rational curves in Grassmannians ⋮ Galois groups of Schubert problems via homotopy computation ⋮ Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm

Uses Software

• PHCpack

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