Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable
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Publication:2062426
DOI10.3934/naco.2020040zbMath1476.49041OpenAlexW3089362033WikidataQ115218773 ScholiaQ115218773MaRDI QIDQ2062426
Publication date: 27 December 2021
Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/naco.2020040
Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear-quadratic optimal control problems (49N10) Singular perturbations for ordinary differential equations (34E15)
Cites Work
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- Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint
- Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters
- Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints
- Global convergence method for singularly perturbed boundary value problems
- Singular perturbations and time-scale methods in control theory: Survey 1976-1983
- A computational method for self-adjoint singular perturbation problems using quintic spline
- An asymptotic initial-value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term
- Direct scheme in optimal control problems with fast and slow motions
- A boundary value technique for singular perturbation problems
- Singular perturbation methods for ordinary differential equations
- Singular perturbations and order reduction in control theory - an overview
- Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in optimal control theory
- Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations
- A numerical algorithm for singular perturbation problems exhibiting weak boundary layers.
- A uniformly accurate spline collocation method for a normalized flux.
- Asymptotic solution of a singularly perturbed linear-quadratic problem in critical case with cheap control
- Initial-value methods for second-order singularly perturbed boundary- value problems
- A survey of numerical techniques for solving singularly perturbed ordinary differential equations
- ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
- Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions
- A novel method for a class of nonlinear singular perturbation problems
- Exponentially fitted finite difference scheme for singularly perturbed two point boundary value problems
- A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives
- Singular perturbations in control problems
- Spline based computational technique for linear singularly perturbed boundary value problems
- Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients
- Asymptotic methods in the theory of optimal control
- A variational difference scheme for a boundary value problem with a small parameter in the highest derivative
- A recent survey on computational techniques for solving singularly perturbed boundary value problems
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