Interior of the integral of a set-valued mapping and problems with a linear control system

DOI10.1134/s0012266123080098zbMath1526.93088MaRDI QIDQ6050094

Maxim V. Balashov

Publication date: 12 October 2023

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Cites Work

• Uniform convexity and the splitting problem for selections
• On the convexity of integrals of multivalued mappings. Applications in control theory
• Geometry of Banach spaces. Selected topics
• Hölder continuity of the minimum-time function for \(C^ 1\)-manifold targets
• Convexity properties of the minimum time function
• Integrals of set-valued functions
• On the Bellman function for the time-optimal process problem
• The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
• Optimization of the reachable set of a linear system with respect to another set
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