Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution

DOI10.1016/S0022-247X(02)00715-1zbMath1028.34059MaRDI QIDQ1874560

Valery Y. Glizer

Publication date: 25 May 2003

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

zbMATH Keywords

fundamental matrixuniform asymptotic solutionlinear functional-differenetial equations

Mathematics Subject Classification ID

Linear functional-differential equations (34K06)

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Cites Work

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• Exponential estimates for singularly perturbed linear functional differential equations
• Singular perturbation methods for ordinary differential equations
• Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in optimal control theory
• Introduction to functional differential equations
• \(H_\infty\) control of linear singularly perturbed systems with small state delay
• Asymptotic solution of a boundary-value problem for linear singularly-perturbed functional differential equations arising in optimal control theory
• Controllability of singularly perturbed linear time-dependent systems with small state delay
• Stabilizability and detectability of singularly perturbed linear time-invariant systems with delays in state and control
• Convergence and boundary layers in singularly perturbed linear functional differential equations
• The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations
• Differential equations: Stability, oscillations, time lags
• The condition of regular degeneration for singularly perturbed linear differential-difference equations
• Asymptotic solutions of differential-difference equations in the case of a small deviation in the argument
• Euclidean space controllability of singularly perturbed linear systems with state delay