Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case

DOI10.1134/S0012266106110048zbMath1131.49020MaRDI QIDQ2459709

A. R. Danilin

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Perturbations in control/observation systems (93C73)

Related Items (4)

Asymptotics of the optimal cost functional in a linear optimal control problem ⋮ Asymptotics of a solution to an optimal control problem with a terminal convex performance index and a perturbation of the initial data ⋮ Asymptotic expansion of the solution to an optimal control problem for a linear autonomous system with a terminal convex quality index depending on slow and fast variables ⋮ On the asymptotics of the optimal value of the performance functional in a linear optimal control problem

Cites Work

• Singular perturbation of linear regulators: Basic theorems
• Convex Analysis
• Minimax Theorems
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