AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS

DOI10.15826/umj.2017.1.003zbMath1448.93019OpenAlexW2736179985MaRDI QIDQ5125183

Mikhail Gusev

Publication date: 5 October 2020

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

Full work available at URL: http://mathnet.ru/eng/umj31

zbMATH Keywords

optimal controlreachable setPontryagin maximum principleintegral constraintsboundary points

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03)

Related Items (1)

On the geometry of reachable sets for control systems with isoperimetric constraints

Cites Work

• Approximation of reachable sets using optimal control algorithms
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• Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints
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• Internal approximations of reachable sets of control systems with state constraints
• On the boundedness of outer polyhedral estimates for reachable sets of linear systems
• On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations
• Dynamic optimization for reachability problems.
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