Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws
From MaRDI portal
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)
Related Items
Continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on \(L^2(\Omega)\) Under control constraints, Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations, Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations, Optimal feedback control results for a second-order evolution system with finite delay, On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems, Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation, Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws, The effect of the terminal penalty in Receding Horizon Control for a class of stabilization problems, Neural network based nonlinear observers, Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations, First and second order optimality conditions for the control of Fokker-Planck equations, Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation, Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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