ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN RnRn WITH A CONVEX INTEGRAL QUALITY INDEX

DOI10.15826/UMJ.2017.1.005zbMath1448.49031OpenAlexW2735523604MaRDI QIDQ5125185

A. A. Shaburov

Publication date: 5 October 2020

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj33

zbMATH Keywords

optimal controlasymptotic expansionsmall parametersingularly perturbed problems

Mathematics Subject Classification ID

Linear optimal control problems (49N05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (1)

ASYMPTOTIC EXPANSION OF A SOLUTION FOR THE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM WITH A CONVEX INTEGRAL QUALITY INDEX AND SMOOTH CONTROL CONSTRAINTS

Cites Work

• Time-optimal control of a small mass point without environmental resistance
• Asymptotics of the optimal cost functional in a linear optimal control problem
• Perturbations, approximations and sensitivity analysis of optimal control systems
• Controllability and time-optimal control of systems with slow and fast modes
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