On the sufficiency of the Hamilton-Jacobi-Bellman equation for optimality of the controls in a linear optimal-time problem

DOI10.1016/0167-6911(86)90132-5zbMath0597.49014OpenAlexW2052361005MaRDI QIDQ1079174

F. Mignanego, G. Pieri

Publication date: 1986

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90132-5

zbMATH Keywords

generalized gradientsHamilton-Jacobi-Bellman (HJB) equationautonomous finite-dimensional linear systemsoptimal-time control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Fréchet and Gateaux differentiability in optimization (49J50) Linear systems in control theory (93C05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99) Model systems in control theory (93C99)

Related Items (3)

Minimal time function and viscosity solutions ⋮ Lower semicontinuous solutions of the Bellman equation for the minimum time problem ⋮ Minimal-time functions in problems without local controllability

Cites Work

• On a generalized Bellman equation for the optimal-time problem
• Functional analysis and time optimal control
• Local Optimality Conditions and Lipschitzian Solutions to the Hamilton–Jacobi Equation
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