Approximation of the Solution Based on the Decoupling Transformation of Linear Time-Varying Singularly Perturbed System with Delay

DOI10.1007/978-3-031-17558-9_4zbMath1521.93111OpenAlexW4313291268MaRDI QIDQ6094974

O. B. Tsekhan

Publication date: 15 September 2023

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

Full work available at URL: https://doi.org/10.1007/978-3-031-17558-9_4

zbMATH Keywords

delaysolutionapproximationdecouplingsingularly perturbed systemtime-varying systemChang transformation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Delay control/observation systems (93C43)

Cites Work

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• Parallel algorithms for optimal control of large scale linear systems
• Kinematic similarity of linear differential systems with a parametric coefficient of a derivative
• Multiparameter singular perturbations of linear systems with multiple time scales
• Singular perturbations in optimal control problems
• Sufficient conditions for stability of linear time-varying systems
• Theory of functional differential equations. 2nd ed
• Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem
• Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob
• Invariant manifolds for singularly perturbed linear functional differential equations
• Complete controllability conditions for linear singularly perturbed time-invariant systems with multiple delays via chang-type transformation
• Singular perturbations in control problems
• Realization of dynamical systems in scales of systems with aftereffect. I: Realizability
• Introduction to time-delay systems. Analysis and control
• A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays
• The equivalence of time-scale decomposition techniques used in the analysis and design of linear systems
• Decomposition and stability for multiparameter singular perturbation problems
• Controllability of Singularly Perturbed Linear Time Delay Systems
• General Transformation for Block Diagonalization of Multitime-Scale Singularly Perturbed Linear Systems
• Stability and stabilisability of the singularly perturbed system with delay on time scales: a decomposition approach
• Singular Perturbations of a General Boundary Value Problem

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