On invariant polyhedra of continuous-time systems subject to additive disturbances

DOI10.1016/0005-1098(96)00002-7zbMath0851.93046OpenAlexW2031728730WikidataQ126781532 ScholiaQ126781532MaRDI QIDQ1917136

Basílio E. A. Milani, Carlos Eduardo T. Dórea

Publication date: 5 September 1996

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(96)00002-7

zbMATH Keywords

stabilitylinear programmingadditive disturbancesdisturbance decoupling conditionspositively \({\mathcal D}\)-invariant polyhedra

Mathematics Subject Classification ID

Linear programming (90C05) Perturbations in control/observation systems (93C73) Robust stability (93D09)

Related Items (7)

Viability criteria for differential inclusions ⋮ Set-theoretic output feedback control: a bilinear programming approach ⋮ On positively invariant polyhedrons for continuous-time positive linear systems ⋮ Output feedback design for discrete-time constrained systems subject to persistent disturbances via bilinear programming ⋮ Viability discrimination of a class of control systems on a nonsmooth region ⋮ \((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems ⋮ Determining the viability for hybrid control systems on a region with piecewise smooth boundary

Cites Work

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• On invariant polyhedra of continuous-time linear systems
• Positively invariant sets for constrained continuous-time systems with cone properties
• Cross-Positive Matrices
• Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances

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