Optimal feedback control of bilinear systems

DOI10.1007/BF00935441zbMath0537.93042OpenAlexW2034682392MaRDI QIDQ792936

E. P. Ryan

Publication date: 1984

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00935441

zbMATH Keywords

optimal feedback controlstabilizing controlbang-bang controlbilinear control systemssaturating control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Synthesis problems (93B50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (8)

An iterative method for the finite-time bilinear-quadratic control problem ⋮ Partial stabilisation of non-homogeneous bilinear systems ⋮ Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation ⋮ Stabilization of a class of stochastic nonlinear systems using a bang‐bang controller ⋮ Transverse function method in stabilization problems for bilinear systems ⋮ Global stabilization of semilinear systems using switching controls ⋮ Feedback control methodologies for nonlinear systems ⋮ Approximate solutions to the time-invariant Hamilton-Jacobi-Bellman equation

Cites Work

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• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• A non-linear optimal control law for linear systems
• Bilinear systems: An appealing class of "nearly linear" systems in theory and applications

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