Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws
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[1] Karl Kunisch,et al. Control Strategies for the Fokker-Planck Equation , 2017, 1707.07510.
[2] M. Fowler,et al. Function Spaces , 2022 .
[3] Ivan P. Gavrilyuk,et al. Lagrange multiplier approach to variational problems and applications , 2010, Math. Comput..
[4] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[5] Karl Kunisch,et al. Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations , 2017, SIAM J. Control. Optim..
[6] Jean-Pierre Raymond. Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls , 2019, Comput. Methods Appl. Math..
[7] Kazufumi Ito,et al. Lagrange multiplier approach to variational problems and applications , 2008, Advances in design and control.
[8] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[9] Kazimierz Malanowski,et al. Lipschitz Stability Of Solutions To Parametric Optimal Control Problems For Parabolic Equations , 1998 .
[10] E. Thomas,et al. A polarization identity for multilinear maps , 2013, 1309.1275.
[11] Infinite-Horizon Problems Under Periodicity Constraint , 2016, 1602.00855.
[12] D. Lukes. Optimal Regulation of Nonlinear Dynamical Systems , 1969 .
[13] M. Hintermüller,et al. Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations , 2005 .
[14] V. Veliov,et al. Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon , 2016 .
[15] Ulrich Eggers,et al. Introduction To Infinite Dimensional Linear Systems Theory , 2016 .
[16] Hélène Frankowska,et al. Value function, relaxation, and transversality conditions in infinite horizon optimal control☆ , 2018 .
[17] J. Zowe,et al. Regularity and stability for the mathematical programming problem in Banach spaces , 1979 .
[18] Takéo Takahashi,et al. Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier-Stokes System , 2011, SIAM J. Control. Optim..
[19] Stefan Volkwein,et al. Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System , 2006 .
[20] J. Lions,et al. Non-homogeneous boundary value problems and applications , 1972 .
[21] Benjamin Pfaff,et al. Perturbation Analysis Of Optimization Problems , 2016 .
[22] Hans Zwart,et al. An Introduction to Infinite-Dimensional Linear Systems Theory , 1995, Texts in Applied Mathematics.
[23] Karl Kunisch,et al. Numerical Study of Polynomial Feedback Laws for a Bilinear Control Problem , 2017, 1709.04227.
[24] S. Pickenhain,et al. Pontryagin Type Maximum Principle for budget-constrained infinite horizon optimal control problems with linear dynamics , 2018 .
[25] Hyunjoong Kim,et al. Functional Analysis I , 2017 .
[26] S. Pickenhain,et al. Weighted functional spaces approach in infinite horizon optimal control problems: A systematic analysis of hidden opportunities and advantages ☆ , 2017 .
[27] S. Mitter,et al. Representation and Control of Infinite Dimensional Systems , 1992 .
[28] 田辺 広城,et al. Equations of evolution , 1979 .
[29] Vladimir M. Veliov,et al. Constant Versus Periodic Fishing: Age Structured Optimal Control Approach , 2014 .
[30] Fredi Tröltzsch,et al. Lipschitz Stability of Solutions to Parametric Optimal Control Problems for Parabolic Equations , 1999 .
[31] Jean-Pierre Raymond,et al. Nonlinear feedback stabilization of a two-dimensional Burgers equation , 2010 .