Asymptotics of the optimal cost functional in a linear optimal control problem

DOI10.1134/S1064562409040073zbMath1190.49039MaRDI QIDQ845136

Yu. V. Parysheva, A. R. Danilin

Publication date: 5 February 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

smooth geometric constraintslinear system with fast and slow variablesasymptotics of optimal valueconvex terminal cost functional

Mathematics Subject Classification ID

Convex programming (90C25)

Related Items (5)

Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints ⋮ ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN RnRn WITH A CONVEX INTEGRAL QUALITY INDEX ⋮ ASYMPTOTIC EXPANSION OF A SOLUTION FOR THE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM WITH A CONVEX INTEGRAL QUALITY INDEX AND SMOOTH CONTROL CONSTRAINTS ⋮ Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables ⋮ Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set

Cites Work

• 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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