Optimal and Robust Control of Fluid Flows: Some Theoretical and Computational Aspects
暂无分享,去创建一个
[1] O. Imanuvilov,et al. On exact controllability for the Navier-Stokes equations , 1998 .
[2] S. Sritharan,et al. Bellman equations associated to the optimal feedback control of stochastic Navier‐Stokes equations , 2005 .
[3] Andrei V. Fursikov,et al. Exact controllability of the Navier-Stokes and Boussinesq equations , 1999 .
[4] Dynamics for controlled 2-D Boussinesq systems with distributed controls , 2002 .
[5] V. Lebedev,et al. On one class of three-term iterative methods with Tchebyshev parameters , 1990 .
[6] L. Hou,et al. Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls , 1991 .
[7] V. P. SHUTYAEV. An algorithm for computing functionals for a class of nonlinear problems using the conjugate equation , 1991 .
[8] Viorel Barbu,et al. Local exact controllability for the magnetohydrodynamic equations revisited , 2005, Advances in Differential Equations.
[9] William Leithead,et al. Survey of gain-scheduling analysis and design , 2000 .
[10] A. Fursikov,et al. Local Exact Boundary Controllability of the Boussinesq Equation , 1998 .
[11] J. Coron,et al. On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions , 1996 .
[12] J. Pedlosky. Geophysical Fluid Dynamics , 1979 .
[13] Max D. Gunzburger,et al. Analysis and Approximation of the Velocity Tracking Problem for Navier-Stokes Flows with Distributed Control , 2000, SIAM J. Numer. Anal..
[14] Max Gunzburger,et al. The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls , 1999 .
[15] R. Temam,et al. On some control problems in fluid mechanics , 1990 .
[16] A. Fursikov,et al. CONTROL PROBLEMS AND THEOREMS CONCERNING THE UNIQUE SOLVABILITY OF A MIXED BOUNDARY VALUE PROBLEM FOR THE THREE-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONS , 1982 .
[17] L. S. Hou,et al. Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results , 1999, SIAM J. Sci. Comput..
[18] S. Ravindran,et al. Computations of Boundary Optimal Control Problems for an Electrically Conducting Fluid , 1996 .
[19] V. Shutyaev,et al. On data assimilation for quasilinear parabolic problems , 2001 .
[20] Hyung-C. Lee,et al. Analysis of Optimal Control Problems for the 2-D Stationary Boussinesq Equations , 2000 .
[21] Ionel Michael Navon,et al. Optimal Control of the Unsteady Navier-Stokes Equations , 2007 .
[22] P. Courtier,et al. Variational Assimilation of Meteorological Observations With the Adjoint Vorticity Equation. I: Theory , 2007 .
[23] Jason L. Speyer,et al. Skin-friction Drag Reduction Via Robust Reduced-order Linear Feedback Control , 1998 .
[24] Kimon Roussopoulos,et al. Feedback control of vortex shedding at low Reynolds numbers , 1993, Journal of Fluid Mechanics.
[25] Ram Vedantham. Optimal Control of the Viscous Burgers Equation Using an Equivalent Index Method , 2000, J. Glob. Optim..
[26] S. Ravindran,et al. A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control Problem for the Navier--Stokes Equations , 1998 .
[27] K. Afanasiev,et al. Adaptive Control Of A Wake Flow Using Proper Orthogonal Decomposition1 , 2001 .
[28] Local exact controllability of the?two-dimensional Navier-Stokes equations , 1996 .
[29] Jacques Periaux,et al. Active Control and Drag Optimization for Flow Past a Circular Cylinder , 2000 .
[30] Kazufumi Ito,et al. Reduced order feedback synthesis for viscous incompressible flows , 2001 .
[31] V. P. SHUTYAEV. Some properties of the control operator in the problem of data assimilation and iterative algorithms , 1995 .
[32] Max D. Gunzburger,et al. The Velocity Tracking Problem for Navier-Stokes Flows With Boundary Control , 2000, SIAM J. Control. Optim..
[33] F.-X. LE DIMET,et al. On Newton methods in data assimilation , 2000 .
[34] Haim H. Bau,et al. Feedback control to delay or advance linear loss of stability in planar Poiseuille flow , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[35] S. Sritharan,et al. H∞–control theory of fluid dynamics , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[36] Bijan Mohammadi,et al. Mesh Adaption and Automatic Differentiation for Optimal Shape Design(Domain Decomposition Methods and Related Topics) , 1997 .
[37] I. Ekeland,et al. Convex analysis and variational problems , 1976 .
[38] R. Temam. Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .
[39] Max Gunzburger,et al. Analysis and approximation for linear feedback control for tracking the velocity in Navier–Stokes flows , 2000 .
[40] Sri Sritharan,et al. Exact Controllability for the Three-dimensional Navier-Stokes Equations with the Navier Slip Boundary Conditions , 2005 .
[41] L. Cortelezzi. Nonlinear feedback control of the wake past a plate with a suction point on the downstream wall , 1996, Journal of Fluid Mechanics.
[42] Haecheon Choi,et al. Suboptimal feedback control of vortex shedding at low Reynolds numbers , 1999, Journal of Fluid Mechanics.
[43] Hyung-Chun Lee,et al. Analysis of Neumann Boundary Optimal Control Problems for the Stationary Boussinesq Equations Including Solid Media , 2000, SIAM J. Control. Optim..
[44] Jason L. Speyer,et al. Application of reduced-order controller to turbulent flows for drag reduction , 2001 .
[45] G. Marchuk,et al. Adjoint Equations and Perturbation Algorithms in Nonlinear Problems , 1996 .
[46] Max D. Gunzburger,et al. Optimal Boundary Control for the Evolutionary Navier--Stokes System: The Three-Dimensional Case , 2005, SIAM J. Control. Optim..
[47] Mohamed Gad-el-Hak,et al. Large-scale disasters : prediction, control, and mitigation , 2008 .
[48] V. P. SHUTYAEV. Control operators and iterative algorithms in problems of reconstructing source functions and initial data , 1999 .
[49] Andrei V. Fursikov,et al. Local exact controllability of the Navier-Stokes equations , 1996 .
[50] Mohamed Gad-el-Hak,et al. Flow Control: Passive, Active, and Reactive Flow Management , 2000 .
[51] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[52] J. Menaldi,et al. Impulse control of stochastic Navier-Stokes equations , 2003 .
[53] Andreas Griewank,et al. ADIFOR - Generating Derivative Codes form Fortran Programs , 1992, Sci. Program..
[54] Oleg Yu. Imanuvilov,et al. Controllability of Evolution equations , 1996 .
[55] P. Christofides,et al. Feedback control of the Kuramoto-Sivashinsky equation , 2000 .
[56] Oleg Yu. Imanuvilov,et al. Remarks on exact controllability for the Navier-Stokes equations , 2001 .
[57] R. Temam,et al. Feedback control for unsteady flow and its application to the stochastic Burgers equation , 1993, Journal of Fluid Mechanics.
[58] Max Gunzburger,et al. Existence of an Optimal Solution of a Shape Control Problem for the Stationary Navier--Stokes Equations , 1998 .
[59] Dynamics for Linear Feedback Controlled Two-Dimensional Bénard Equations with Distributed Controls , 2001 .
[60] Sergio Guerrero,et al. Local exact controllability of the Navier-Stokes system ✩ , 2004 .
[61] Ionel M. Navon,et al. Optimal control of cylinder wakes via suction and blowing , 2003, Computers & Fluids.
[62] V. P. SHUTYAEV,et al. Iteration methods for solving a data assimilation problem , 1994 .
[63] Jason L. Speyer,et al. Robust reduced-order controller of laminar boundary layer transitions , 1998 .
[64] David L. Russell,et al. Control and optimal design of distributed parameter systems , 1995 .
[65] Haecheon Choi,et al. Suboptimal control of turbulent channel flow for drag reduction , 1998, Journal of Fluid Mechanics.
[66] Max Gunzburger,et al. Feedback Control of Karman Vortex Shedding , 1996 .
[67] A. Fursikov,et al. Exact boundary zero controllability of three-dimensional Navier-Stokes equations , 1995 .
[68] Hong-Chul Kim. PENALIZED APPROACH AND ANALYSIS OF AN OPTIMAL SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS , 2001 .
[69] S. Ravindran,et al. A Reduced-Order Method for Simulation and Control of Fluid Flows , 1998 .
[70] Stefan Volkwein,et al. Distributed Control Problems for the Burgers Equation , 2001, Comput. Optim. Appl..
[71] T. Tachim Medjo. Iterative Methods for a Class of Robust Control Problems in Fluid Mechanics , 2002, SIAM J. Numer. Anal..
[72] R. Temam. Navier-Stokes Equations , 1977 .
[73] L. Hou,et al. Boundary optimal control of MHD flows , 1995 .
[74] L. Hou,et al. Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case , 1998 .
[75] M. Kawahara,et al. Shape Optimization of Body Located in Incompressible Navier--Stokes Flow Based on Optimal Control Theory , 2000 .
[76] Y. Yan,et al. Viscous Scalar Conservation Law with Nonlinear Flux Feedback and Global Attractors , 1998 .
[77] Max Gunzburger. A Prehistory of Flow Control and Optimization , 1995 .
[78] P. Khargonekar,et al. State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .
[79] L. S. Hou,et al. Dynamics for Controlled Navier--Stokes Systems with Distributed Controls , 1997 .
[80] R. Temam,et al. Models of the coupled atmosphere and ocean (CAO I). I , 1993 .
[81] Karl Kunisch,et al. Second Order Methods for Optimal Control of Time-Dependent Fluid Flow , 2001, SIAM J. Control. Optim..
[82] T. T. Medjo. FIXED-POINT ITERATION METHOD FOR NONLINEAR ROBUST CONTROL PROBLEMS IN FLUID MECHANICS , 2002 .
[83] Kazufumi Ito,et al. Optimal Control of Thermally Convected Fluid Flows , 1998, SIAM J. Sci. Comput..
[84] V. Tikhomirov,et al. Optimal Control , 1987 .
[85] Thomas Bewley,et al. Optimal and robust control and estimation of linear paths to transition , 1998, Journal of Fluid Mechanics.
[86] Roger Temam,et al. A general framework for robust control in fluid mechanics , 2000 .
[87] Miroslav Krstic,et al. Control of mixing by boundary feedback in 2D channel flow , 2003, Autom..
[88] Kazufumi Ito,et al. Optimal Controls of Navier--Stokes Equations , 1994 .
[89] Frédéric Abergel,et al. Some optimal control problems of multistate equations appearing in fluid mechanics , 1993 .
[90] Jacques Periaux,et al. Numerical simulation and optimal shape for viscous flow by a fictitious domain method , 1995 .
[91] L. Hou,et al. Boundary velocity control of incompressible flow with an application to viscous drag reduction , 1992 .
[92] Stefan Volkwein,et al. Analysis of instantaneous control for the Burgers equation , 2002 .
[93] S. Sritharan. An optimal control problem in exterior hydrodynamics , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[94] A. Fursikov. PROPERTIES OF SOLUTIONS OF SOME EXTREMAL PROBLEMS CONNECTED WITH THE NAVIER-STOKES SYSTEM , 1983 .
[95] S. S. Ravindran,et al. Adaptive Reduced-Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition , 2001, SIAM J. Sci. Comput..
[96] Parviz Moin,et al. Feedback Control of Turbulence , 1994 .
[97] S. Sritharan,et al. Existence of optimal controls for viscous flow problems , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[98] Jean-Michel Coron,et al. Global Exact Controllability of the 2D Navier-Stokes Equations on a Manifold without boundary , 1996 .
[99] Omar Ghattas,et al. Optimal Control of Two- and Three-Dimensional Incompressible Navier-Stokes Flows , 1997 .
[100] Sergio Guerrero,et al. Global Carleman Inequalities for Parabolic Systems and Applications to Controllability , 2006, SIAM J. Control. Optim..
[101] E. W. Hendricks,et al. Feedback control of von Kármán vortex shedding behind a circular cylinder at low Reynolds numbers , 1994 .
[102] S. Sritharan. Optimal control of viscous flow , 1998 .
[103] David J. N. Limebeer,et al. Linear Robust Control , 1994 .
[104] Max Gunzburger,et al. Adjoint Equation-Based Methods for Control Problems in Incompressible, Viscous Flows , 2000 .
[105] S. Sritharan,et al. Viscosity Solutions of Dynamic-Programming Equations for the Optimal Control of the Two-Dimensional Navier-Stokes Equations , 2002 .
[106] O. Pironneau,et al. ON THE PROBLEMS OF RIBLETS AS A DRAG REDUCTION DEVICE , 1989 .
[107] Max Gunzburger,et al. SENSITIVITIES, ADJOINTS AND FLOW OPTIMIZATION , 1999 .
[108] Oleg Yu. Imanuvilov,et al. On Controllability of Certain Systems Simulating a Fluid Flow , 1995 .
[110] Mohamed Gad-el-Hak,et al. MEMS : Introduction and Fundamentals , 2005 .
[111] Y.-C. Chen,et al. NONLINEAR FEEDBACK CONTROL OF THE WAKE PAST A PLATE : FROM A LOW-ORDER MODEL TO A HIGHER-ORDER MODEL , 1997 .
[112] Thomas Bewley,et al. Flow control: new challenges for a new Renaissance , 2001 .
[113] V. Barbu,et al. Exact controllability for the magnetohydrodynamic equations , 2003 .
[114] Roland Glowinski,et al. Towards the computation of minimum drag profiles in viscous laminar flow , 1976 .
[115] Sivaguru S. Ravindran,et al. Penalty Methods for Numerical Approximations of Optimal Boundary Flow Control Problems , 1998 .
[116] Janet Peterson,et al. Issues in shape optimization for the Navier-Stokes equations , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.
[117] Mohamed Gad-el-Hak,et al. MEMS : Design and Fabrication , 2005 .
[118] V. P. SHUTYAEV,et al. Numerical analysis of iterative methods for solving evolution data assimilation problems , 1999 .
[119] S. Ravindran. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition , 2000 .
[120] J. Peixoto,et al. Physics of climate , 1992 .
[121] O. Pironneau. On optimum design in fluid mechanics , 1974 .
[122] Max D. Gunzburger,et al. On a shape control problem for the stationary Navier-Stokes equations , 2000 .
[123] Roger Temam,et al. On the equations of the large-scale ocean , 1992 .
[124] Sanjay S. Joshi,et al. A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow , 1997, Journal of Fluid Mechanics.
[125] G. Marchuk. Methods of Numerical Mathematics , 1982 .
[126] B. Mohammadi. Shape Optimization for 3D Turbulent Flows Using Automatic Differentiation , 1998 .
[127] T. Svobodny. Shape Optimization and Control of Separating Flow in Hydrodynamics , 1995 .
[128] L. S. Hou,et al. Optimization Problems for the Navier-Stokes Equations with Regular Boundary Controls , 1993 .
[129] Kazufumi Ito,et al. A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics , 1994 .
[130] On error analysis in data assimilation problems , 2002 .
[131] Andrei V. Fursikov,et al. On exact boundary zero-controlability of two-dimensional Navier-Stokes equations , 1994 .
[132] T. T. Medjo. Robust control problems in fluid mechanics , 2001 .
[133] Viorel Barbu,et al. Flow Invariance Preserving Feedback Controllers for the Navier–Stokes Equation , 2001 .
[134] L. S. Hou,et al. Dynamics and Approximations of a Velocity Tracking Problem for the Navier--Stokes Flows with Piecewise Distributed Controls , 1997 .
[135] Olivier Talagrand,et al. On the mathematics of data assimilation , 1981 .
[136] R. Glowinski,et al. A Numerical Approach to the Control and Stabilization of Advection-Diffusion Systems: Application to Viscous Drag Reduction , 1998 .
[137] Sivaguru S. Ravindran,et al. Proper Orthogonal Decomposition in Optimal Control of Fluids , 1999 .
[138] J. A. Burns,et al. Feedback Control of a Thermal Fluid Using State Estimation , 1998 .
[139] Karl Kunisch,et al. Three Control Methods for Time-Dependent Fluid Flow , 2000 .
[140] K. ITO,et al. Reduced Basis Method for Optimal Control of Unsteady Viscous Flows , 2001 .
[141] Louis Roder Tcheugoué Tébou,et al. Adjoint-Based Iterative Method for Robust Control Problems in Fluid Mechanics , 2004, SIAM J. Numer. Anal..