The convexity of the reachable set for a bilinear controllable system

DOI10.1016/S0021-8928(03)90039-6zbMath1105.49024OpenAlexW2060398759MaRDI QIDQ5318135

M. V. Topunov

Publication date: 21 September 2005

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(03)90039-6

zbMATH Keywords

maximum principlebilinear controlled system

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (3)

Sufficient conditions for nesting the reachable sets of two smooth control systems of constant rank and linear in phase variables ⋮ Convexity of reachable sets of nonlinear ordinary differential equations ⋮ A class of \(\mu\)-commutative bilinear control systems

Cites Work

• Directional convexity and finite optimality conditions
• The Structure of Small-Time Reachable Sets in Low Dimensions
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