Transcendental and Interpolation Methods in Simultaneous Stabilization and Simultaneous Partial Pole Placement Problems

DOI10.1137/0324066zbMath0606.93034OpenAlexW2090357863MaRDI QIDQ3745715

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1137/0324066

zbMATH Keywords

interpolation stabilization pole placement time-invariant semialgebraic parametrization simultaneous partial pole assignment

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Moment problems and interpolation problems in the complex plane (30E05) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

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Feedback equivalence and uniform ensemble reachability ⋮ Simultaneous identification of linear systems: A heuristic approach ⋮ Simultaneous stabilization using stable system inversion ⋮ On the construction of a common stabilizer for families of linear nonstationary systems ⋮ Sufficient conditions for simultaneous stabilization of three linear systems within the framework of nest algebras ⋮ Computation of open-loop inputs for uniformly ensemble controllable systems ⋮ Simultaneous stabilization problem in a behavioral framework ⋮ Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras ⋮ The transitivity in simultaneous stabilization ⋮ Simultaneous controller design for time-varying linear systems ⋮ Stabilization of polytopes of plants by their vertices ⋮ Sufficient conditions for the existence of a common stabilizer for a family of linear nonstationary plants ⋮ Stabilization of a linear plant via a stable compensator having no real unstable zeros ⋮ On the Takagi interpolation problem ⋮ Methods of invariant analysis for linear control systems. ⋮ Simultaneous stabilizability of three linear systems is rationally undecidable ⋮ On minimal degree simultaneous pole assignment problems

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