On optimality conditions for the guaranteed result in control problems for time-delay systems

DOI10.1134/S0081543810050135zbMath1302.49027OpenAlexW1981728173MaRDI QIDQ481085

N. Yu. Lukoyanov

Publication date: 12 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810050135

zbMATH Keywords

optimal controldifferential gamestime-delay systems

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (9)

Minimax and viscosity solutions of Hamilton-Jacobi-Bellman equations for time-delay systems ⋮ The problem of approach in differential-difference games ⋮ Path-dependent Hamilton-Jacobi equations in infinite dimensions ⋮ Viscosity solutions of Hamilton-Jacobi equations for neutral-type systems ⋮ On Hamilton–Jacobi–Isaacs–Bellman equation for neutral type systems ⋮ On viscosity solutions of path-dependent Hamilton-Jacobi-Bellman-Isaacs equations for fractional-order systems ⋮ Stable functionals of neutral-type dynamical systems ⋮ On differentiability of solutions of fractional differential equations with respect to initial data ⋮ Quasigradient aiming strategies in optimal control problems for time-delay systems

Cites Work

• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
• Hamilton–Jacobi theory for hereditary control problems
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