Asymptotic Solution of a Boundary-Value Problem for Linear Singularly-Perturbed Functional Differential Equations Arising in Optimal Control Theory
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DOI: 10.1023/A:1004651430364
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- Brdar, Mirjana & Franz, Sebastian & Ludwig, Lars & Roos, Hans-Görg, 2023. "A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space," Applied Mathematics and Computation, Elsevier, vol. 437(C).
- V.Y. Glizer, 2003. "Asymptotic Analysis and Solution of a Finite-Horizon H ∞ Control Problem for Singularly-Perturbed Linear Systems with Small State Delay," Journal of Optimization Theory and Applications, Springer, vol. 117(2), pages 295-325, May.
- Sahihi, Hussein & Abbasbandy, Saeid & Allahviranloo, Tofigh, 2019. "Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 583-598.
- Chen, Shu-Bo & Soradi-Zeid, Samaneh & Dutta, Hemen & Mesrizadeh, Mehdi & Jahanshahi, Hadi & Chu, Yu-Ming, 2021. "Reproducing kernel Hilbert space method for nonlinear second order singularly perturbed boundary value problems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
- Gemechis File Duressa & Imiru Takele Daba & Chernet Tuge Deressa, 2023. "A Systematic Review on the Solution Methodology of Singularly Perturbed Differential Difference Equations," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
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Keywords
optimal control problems with delay in the state variables; Hamiltonian boundary-value problems; functional differential equations; singular perturbations; asymptotic solutions;All these keywords.
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