Isoperimetric optimality criterion in the method of ellipses for continuous controllable second-order systems

DOI10.1134/S1064230713050092zbMath1308.93040OpenAlexW1980044580MaRDI QIDQ2263847

E. V. Ocheretnyuk, Vitalii I. Slyn'ko

Publication date: 19 March 2015

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230713050092

Mathematics Subject Classification ID

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

Cites Work

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• Exact solution of ellipsoid equations approximating the reachabilty domain for a certain class of linear systems
• Explicit formulas for the ellipsoids approximating attainability domains
• On the boundedness of outer polyhedral estimates for reachable sets of linear systems

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