Critical and near-critical values in polynomial control problems. I: One- dimensional case

DOI10.1007/BF02808059zbMath0769.93039OpenAlexW1971958897MaRDI QIDQ1802743

Yosef Yomdin, Miriam Briskin

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808059

zbMATH Keywords

examplesquantitative boundsinput-to-state mapping

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Flexible high-order discretization of geometric data for global motion planning ⋮ Surjective Mappings Whose Differential is Nowhere Surjective ⋮ Semialgebraic complexity of functions ⋮ On the image size of singular maps. II ⋮ Critical and near-critical values in polynomial control problems. I: One- dimensional case ⋮ Numerical homotopies to compute generic points on positive dimensional algebraic sets

Cites Work

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• Some properties of vector field systems that are not altered by small perturbations
• Critical and near-critical values in polynomial control problems. I: One- dimensional case
• Some Examples of Reachable Sets and Optimal Cost Functions That Fail to be Subanalytic
• Controllability and linearized regulation
• Finite-dimensional open-loop control generators for non-linear systems
• Perturbations of Nonlinear Controllable Systems
• Counterexample to the Morse-Sard Theorem in the Case of Infinite-Dimensional Manifolds
• The measure of the critical values of differentiable maps

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