Convergence in the boundary layer for singularly perturbed equations

DOI10.1016/0005-1098(82)90026-7zbMath0468.49003OpenAlexW1994100237MaRDI QIDQ1156350

Bruce A. Francis

Publication date: 1982

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(82)90026-7

zbMATH Keywords

optimal controlLaplace transformsdistributionslinear differential equationsboundary layerboundary-value problemssingularly perturbed equationssingular controlcheap controloptimal linear-quadratic regulator

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Singular perturbations of ordinary differential equations (34D15) Laplace transform (44A10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (13)

An efficient algorithm for partial fraction expansion of the linear matrix pencil inverse ⋮ Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations ⋮ On the solutions of linear differential equations with singular coefficients ⋮ One canonical form for higher-index linear time-varying singular systems ⋮ Convergence of singular perturbations in singular linear systems ⋮ Singular perturbations and time-scale methods in control theory: Survey 1976-1983 ⋮ An algorithm for the computation of the transfer function matrix for singular systems ⋮ Regularizations of linear time varying singular systems ⋮ Consistent initial conditions for singular nonlinear systems ⋮ On the computation of the transfer function matrix of singular systems ⋮ Large-scale dynamical interconnections of stochastic singular systems ⋮ A transformation of non-linear dynamical systems with a single singular singularly perturbed differential equation† ⋮ Sensitivity analysis of singularly perturbed systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Input-output properties of multiple-input, multiple-output discrete systems. I, II
• Cheap control of the time-invariant regulator
• Singular perturbations and order reduction in control theory - an overview
• Geometric state-space theory in linear multivariable control: A status report
• Comments on ‘ On structural invariants and the root-loci of linear multivariable systems’
• The optimal linear-quadratic time-invariant regulator with cheap control
• A singular perturbation analysis of high-gain feedback systems
• Bounded peaking in the optimal linear regulator with cheap control
• On the Equivalence of Spearman-Karber and Maximum Likelihood Estimates of the Mean

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