Regularity of solutions of retarded equations and application to sensitivity of linear quadratic controllers to small delays

DOI10.1006/jmaa.2000.6751zbMath1024.34052OpenAlexW2105385993MaRDI QIDQ1977783

Michel Sorine, Papa Momar Ndiaye

Publication date: 18 May 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6751

zbMATH Keywords

sensitivityregularitysolutionssmall delaysretarded equationslinear quadratic controllers

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Control problems for functional-differential equations (34K35) General theory of functional-differential equations (34K05)

Cites Work

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• Differential-difference equations
• Stability of functional differential equations
• Differential equations: Stability, oscillations, time lags
• ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO
• Continuity properties on the retardation in the theory of difference-differential equations
• The Sensitivity of Optimal Control Problems to Time Delay
• Stability of linear feedback systems with random communication delays
• Closed-loop control of systems over a communications network with queues

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