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Singular perturbations in linearly quadratic optimal control problems

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Publication:1180271
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zbMath0737.49025MaRDI QIDQ1180271

Vladimir Sobolev

Publication date: 27 June 1992

Published in: Automation and Remote Control (Search for Journal in Brave)


zbMATH Keywords

asymptotic methodcontrol of thermal processesintegral quadratic performance criterionsingularly perturbed linear nonstationary systems


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Differential games and control (49N70) Nonlinear systems in control theory (93C10) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Pursuit and evasion games (49N75)


Related Items (5)

Reduction of dimension of optimal estimation problems for dynamical systems with singular perturbations ⋮ Dimensionality reduction in optimal control and estimation problems for systems of solid bodies with low dissipation ⋮ Efficient decomposition of singularly perturbed systems ⋮ Regularization of cheap periodic control problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations




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