Time-optimal control of a small mass point without environmental resistance

DOI10.1134/S1064562413040364zbMath1276.49003MaRDI QIDQ382173

O. O. Kovrizhnykh, A. R. Danilin

Publication date: 18 November 2013

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

zbMATH Keywords

time-optimal controlmagnitude-bounded forcesmall mass point

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (11)

Asymptotic expansion of the solution of a singularly perturbed optimal control problem with elliptical control constraints ⋮ Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints ⋮ Asymptotics of the optimal time in a time-optimal control problem with a small parameter ⋮ On a singularly perturbed time-optimal control problem with two small parameters ⋮ Asymptotics of a solution to a singularly perturbed time-optimal control problem ⋮ 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 ⋮ Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables ⋮ Asymptotics of the optimal time in a time-optimal problem with two small parameters ⋮ Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set

Cites Work

• 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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