On the asymptotics of the optimal value of the performance functional in a linear optimal control problem

DOI10.1134/S0012266111040100zbMath1230.49037MaRDI QIDQ647686

A. R. Danilin, Yu. V. Parysheva

Publication date: 24 November 2011

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

zbMATH Keywords

algorithmoptimal controlasymptotics of the optimal valueconvex terminal performance functionallinear system with rapid and slow variablesregularity of asymptoticssmooth geometric constraints

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Regularity of solutions in optimal control (49N60) Control problems involving ordinary differential equations (34H05)

Related Items (1)

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

Cites Work

• The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case
• Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case
• Convex Analysis
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