Concepedia

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 · 232 references

Concepts

Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryNonlinear ControlNonlinear DynamicsPerturbation TheorySingular Perturbation TheoryClassical Control TheoryDelay Differential Equations With Singular PerturbationsPerturbed Differential-algebraic EquationsSingular Perturbation AnalysisSingular Perturbations In Control TheorySingular Perturbations In Ordinary Differential EquationsSingular Perturbations In Partial Differential EquationsStability Analysis Of Linear Systems

References

232

Variable structure systems with sliding modes

Vadim Utkin · IEEE Transactions on Automatic Control · 1977 · 5.3K citations

Engineering, Systems Engineering, Dynamical Systems +12

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

Natural Sciences, Mathematics, Physics +13

Perturbation Methods in Applied Mathematics

Julian D. Cole, Lawrence E. Levine · IEEE Transactions on Systems Man and Cybernetics · 1973 · 1.8K citations

Natural Sciences, Mathematics, Physics +14

Proceedings of the IEEE Conference on Decision and Control

Andrey Smyshlyaev, Eduardo Cerpa, Miroslav Krstić · 2009 · 1.5K citations

Engineering, Computer Science, Electrical Engineering +12

Survey of decentralized control methods for large scale systems

N. Sandell, Pravin Varaiya, Michael Athans et al. · IEEE Transactions on Automatic Control · 1978 · 1.1K citations

Engineering, Systems Engineering, Decentralization +13