Concepedia

Variational Problems Involving Functional Differential Equations

SIAM Journal on Control · 1969 · 40 citations · 11 references

Open access

Concepts

Natural SciencesMathematicsDifferential EquationsDynamical SystemsProcess ControlControl Of Dynamical SystemsControl TheoryNonlinear ControlOptimal ControlTime Delay EffectsVariational FormulationFubini's TheoremFunctional Differential SystemsFunctional EquationsLinear Control SystemsOptimal Control With Time DelaysStability Of Functional Differential EquationsTime-varying DelaysVariable Time Delays

Abstract

Variational problems involving functional differential equations, and derivation of general maximum principle involving adjoint variables or multipliers

References

11

Differential Equations: Stability, Oscillations, Time Lags

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

Natural Sciences, Mathematics, Differential Equations +13

Introduction to differentiable manifolds

Journal of the Franklin Institute · 1963 · 576 citations

Natural Sciences, Mathematics, Physics +10

The theory of functions of real variables

Lawrence M. Graves · Journal of the Franklin Institute · 1956 · 328 citations · Full text

Natural Sciences, Economics, Mathematics +4

An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory

Lucien W. Neustadt · SIAM Journal on Control · 1966 · 166 citations

Natural Sciences, Mathematics, Optimization +14

Sufficient conditions for stability and instability of autonomous functional-differential equations

Jack K. Hale · Journal of Differential Equations · 1965 · 158 citations

Natural Sciences, Autonomous Systems, Mathematics +13