Optimization of the reachable set of a linear system with respect to another set

DOI10.1134/s0965542523050056zbMath1527.49017OpenAlexW4382052754MaRDI QIDQ6167989

Maxim V. Balashov, Unnamed Author

Publication date: 10 July 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523050056

zbMATH Keywords

linear programminguniform convexityreachable setmultivalued integralapproximation in Hausdorff metriccondition of nonempty interior

Mathematics Subject Classification ID

Linear programming (90C05) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

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

Cites Work

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• Large deviations for non-zero initial conditions in linear systems
• Dynamics and control of trajectory tubes. Theory and computation
• On polyhedral approximations in an \(n\)-dimensional space
• Polyhedral approximations of strictly convex compacta
• Reachability analysis of linear systems using support functions
• Geometry of Banach spaces. Selected topics
• Convexity properties of the minimum time function
• Covering a set by a convex compactum: error estimates and computation
• Integrals of set-valued functions
• Strongly convex analysis
• A Survey of Viability Theory
• Gradient Theory of Optimal Flight Paths
• A Steepest-Ascent Method for Solving Optimum Programming Problems
• $ M$-strongly convex subsets and their generating sets
• Overapproximating Reachable Tubes of Linear Time-Varying Systems
• Strong convexity of reachable sets of linear systems

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