Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws
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Publication:5374435
DOI10.1137/18M1173952zbMath1401.49004OpenAlexW2891155270MaRDI QIDQ5374435
Tobias Breiten, Laurent Pfeiffer, Karl Kunisch
Publication date: 14 September 2018
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1173952
bilinear controlinfinite-horizon optimal controlsensitivity relationsregularity of the value functionpolynomial feedback laws
Optimal feedback synthesis (49N35) Stabilization of systems by feedback (93D15) Existence theories for optimal control problems involving partial differential equations (49J20) Sensitivity analysis for optimization problems on manifolds (49Q12)
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Cites Work
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- Infinite-horizon problems under periodicity constraint
- Representation and control of infinite dimensional systems
- Functional analysis, Sobolev spaces and partial differential equations
- Regularity and stability for the mathematical programming problem in Banach spaces
- Lipschitz stability of solutions to parametric optimal control problems for parabolic equations
- Value function, relaxation, and transversality conditions in infinite horizon optimal control
- Pontryagin type maximum principle for budget-constrained infinite horizon optimal control problems with linear dynamics
- A polarization identity for multilinear maps
- Weighted functional spaces approach in infinite horizon optimal control problems: a systematic analysis of hidden opportunities and advantages
- Constant Versus Periodic Fishing: Age Structured Optimal Control Approach
- Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations
- Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
- Nonlinear feedback stabilization of a two-dimensional Burgers equation
- Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations
- Lagrange Multiplier Approach to Variational Problems and Applications
- Control strategies for the Fokker−Planck equation
- Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws
- Optimal Regulation of Nonlinear Dynamical Systems
