Systems with Time Delay in the Calculus of Variations: The Method of Steps

DOI10.1093/imamci/5.4.285zbMath0669.49008OpenAlexW2065278715MaRDI QIDQ3822739

Javier F. Rosenblueth

Publication date: 1988

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/5.4.285

zbMATH Keywords

second variationHamiltonian systemmethod of stepsconstant delayfixed-endpoint problemdelay problemconjugate sequence

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99)

Related Items (10)

Noether's theorem for fractional Birkhoffian system of Herglotz type with time delay ⋮ Constants of motion for isoperimetric variational problems with time delay ⋮ The complete solution for constrained delay problems in the calculus of variations by unconstrained methods ⋮ Higher-order Noether's theorem for isoperimetric variational problems ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay ⋮ Noether's theorems for the relative motion systems on time scales ⋮ Fractional variational problems depending on indefinite integrals and with delay ⋮ Noether’s theorem for non-smooth extremals of variational problems with time delay ⋮ Noether theorem for non-conservative systems with time delay on time scales ⋮ Noether symmetries and conserved quantities for Birkhoffian systems with time delay

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