Remarks concerning the asymptotic stability and stabilization of linear delay differential equations

DOI10.1016/0022-247X(85)90236-7zbMath0579.34052MaRDI QIDQ1067082

Richard Datko

Publication date: 1985

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

zbMATH Keywords

algorithmlinear delay differential equationsfeedback system

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Control problems involving ordinary differential equations (34H05) General theory of functional-differential equations (34K05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Stabilizing controller design for delay systems of neutral type ⋮ Stabilization criteria for continuous linear time-invariant systems with constant lags ⋮ An approach to the problem of stabilizing systems with delay ⋮ Modal control of hybrid differential-difference systems and associated delay systems of neutral type in scales of differential-difference controllers ⋮ Asymptotic stability of differential equations with infinite delay ⋮ Control of systems with aftereffect in scales of linear controllers with respect to the type of feedback ⋮ Spatially nonhomogeneous periodic solutions in a delayed predator-prey model with diffusion effects ⋮ Stabilization of linear autonomous systems of differential equations with distributed delay ⋮ Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays ⋮ Control of neutral delay linear systems using feedback with dynamic structure ⋮ Stabilization of linear distributed control systems with unbounded delay ⋮ Stabilization of hereditary distributed parameter control systems ⋮ Controllability and stabilizability of linear time-varying distributed hereditary control systems

Cites Work

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• Stability conditions for linear retarded functional differential equations
• The Laplace transform and the integral stability of certain linear processes
• Linear autonomous neutral functional differential equations
• Theory of functional differential equations. 2nd ed
• Pointwise stability and feedback control of linear systems with noncommensurate time delays
• Differential equations: Stability, oscillations, time lags
• Linear systems with commensurate time delays: stability and stabilization independent of delay
• Function Space Controllability of Linear Retarded Systems: A Derivation from Abstract Operator Conditions
• The uniform exponential stability of a class of linear differential–difference equations in a Hilbert space
• Stability conditions for a class of delay differential systems
• A procedure for determination of the exponential stability of certain differential-difference equations

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