On extremal properties of the boundary points of reachable sets for control systems with integral constraints

DOI10.1134/S0081543818020116zbMath1395.49017OpenAlexW2804434305MaRDI QIDQ721518

I. V. Zykov, Mikhail Gusev

Publication date: 19 July 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818020116

zbMATH Keywords

maximum principlecontrol systemreachable setintegral constraints

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (6)

Control systems of variable structure. Attainability sets and integral funnels ⋮ On a local synthesis problem for nonlinear systems with integral constraints ⋮ Reachable set of the Dubins car with an integral constraint on control ⋮ THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS ⋮ Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets ⋮ An approach problem for a control system and a compact set in the phase space in the presence of phase constraints

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