Some Examples of Reachable Sets and Optimal Cost Functions That Fail to be Subanalytic

DOI10.1137/0323037zbMath0569.49029OpenAlexW1979271393MaRDI QIDQ3685575

Stanisław jun. Łojasiewicz, Héctor J. Sussmann

Publication date: 1985

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0323037

zbMATH Keywords

subanalytic setminimal-time functionanalytic affine control systemsstructure of reachable sets

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Real-analytic functions (26E05)

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