Concepedia

Asymptotic Solution of a Boundary-Value Problem for Linear Singularly-Perturbed Functional Differential Equations Arising in Optimal Control Theory

Valery Y. Glizer

Journal of Optimization Theory and Applications · 2000 · 60 citations · 18 references

Concepts

Natural SciencesMathematicsDifferential EquationsDynamical SystemsBoundary ConditionsBoundary-value ProblemsControl TheoryOptimal ControlPerturbation TheorySingular Perturbation TheoryAsymptotic ExpansionsBoundary ProblemInitial-boundary Value ProblemsSingular Boundary-value ProblemsSingular Perturbation AnalysisSingular Perturbations In Partial Differential EquationsSingularly Perturbed Boundary Value Problems

References

18

Singular perturbation methods in control: analysis and design

Mathematics and Computers in Simulation · 1987 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +11

Differential Equations: Stability, Oscillations, Time Lags

H. A. Antosiewicz, A. Halanay · Mathematics of Computation · 1967 · 1K citations

Natural Sciences, Mathematics, Differential Equations +13

Singular perturbations and time-scale methods in control theory: Survey 1976–1983

V.R. Saksena, J. O’Reilly, P.V. Kokotović · Automatica · 1984 · 531 citations

Natural Sciences, Mathematics, Physics +16

Applications of Singular Perturbation Techniques to Control Problems

P.V. Kokotović · SIAM Review · 1984 · 420 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +16

Perturbation methods in optimal control

Mathematics and Computers in Simulation · 1988 · 268 citations

Natural Sciences, Mathematics, Dynamical Systems +12