Optimal feedback control of nonlinear systems

DOI10.1016/0005-1098(87)90009-4zbMath0622.49003OpenAlexW2065368319MaRDI QIDQ1090919

Houria Bourdache-Siguerdidjane, Michel Fliess

Publication date: 1987

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(87)90009-4

zbMATH Keywords

optimal feedback controlPontryagin maximum principlefinite-horizon, deterministic optimal control problem without control or endpoint constraints

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (17)

Optimal feedback control of nonlinear systems ⋮ Optimal feedback control, linear first-order PDE systems, and obstacle problems ⋮ Analytical computation of differential equations involved in dynamical nonlinear optimal problems ⋮ On a PDE arising in one-dimensional stochastic control problems ⋮ New method to characterize subgame perfect Nash equilibria in differential games ⋮ On Applications of a new method for computing optimal non-linear feedback controls ⋮ Further results on the optimal regulation of spacecraft angular momentum ⋮ On minimum quadratic functional control of affine nonlinear systems. ⋮ New approach to stochastic optimal control ⋮ Optimal control for quasi-linear systems with small parameters ⋮ Control of nonlinear systems in singular problems ⋮ Feedback control methodologies for nonlinear systems ⋮ On minimum quadratic functional control of affine nonlinear systems ⋮ Control of affine nonlinear systems with nilpotent structure in singular problems ⋮ Some numerical tests for an alternative approach to optimal feedback control ⋮ A new approach to nonlinear optimal feedback law ⋮ The role of systems biology, neuroscience, and thermodynamics in network control and learning

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