Relevant bibliographies by topics / Boundary Optimal Control Problem

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Boundary Optimal Control Problem'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 September 2023

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Journal articles on the topic "Boundary Optimal Control Problem"

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Craven, B. D. "Boundary conditions optimal control." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 30, no. 3 (1989): 343–49. http://dx.doi.org/10.1017/s0334270000006287.

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AbstractA simple rigorous approach is given to finding boundary conditions for the adjoint differential equation in an optimal control problem. The boundary conditions for a time-optimal problem are calculated from the simpler conditions for a fixed-time problem.
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Mishra, Indira. "Homogenization of boundary optimal control problem." Electronic Journal of Differential Equations 2022, no. 01-87 (2022): 12. http://dx.doi.org/10.58997/ejde.2022.12.

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In this article, we study the asymptotic behavior of solutions to some optimal control problems, governed by an elliptic boundary value problem with Robin boundary conditions in a periodically perforated domain. The coefficients of the differential operator in the state equation and in the cost-functional are rapidly oscillating. We also study the boundary homogenization of some optimal control problems.
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Serea, Oana-Silvia. "On Reflecting Boundary Problem for Optimal Control." SIAM Journal on Control and Optimization 42, no. 2 (2003): 559–75. http://dx.doi.org/10.1137/s0363012901395935.

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Mallea-Zepeda, Exequiel, Eber Lenes, and Elvis Valero. "Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition." Mathematical Problems in Engineering 2018 (2018): 1–14. http://dx.doi.org/10.1155/2018/7959761.

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We analyze an optimal boundary control problem for heat convection equations in a three-dimensional domain, with mixed boundary conditions. We prove the existence of optimal solutions, by considering boundary controls for the velocity vector and the temperature. The analyzed optimal control problem includes the minimization of a Lebesgue norm between the velocity and some desired field, as well as the temperature and some desired temperature. By using the Lagrange multipliers theorem we derive an optimality system. We also give a second-order sufficient condition.
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Azhmyakov, Vadim. "Optimal Control of Mechanical Systems." Differential Equations and Nonlinear Mechanics 2007 (2007): 1–16. http://dx.doi.org/10.1155/2007/18735.

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In the present work, we consider a class of nonlinear optimal control problems, which can be called “optimal control problems in mechanics.” We deal with control systems whose dynamics can be described by a system of Euler-Lagrange or Hamilton equations. Using the variational structure of the solution of the corresponding boundary-value problems, we reduce the initial optimal control problem to an auxiliary problem of multiobjective programming. This technique makes it possible to apply some consistent numerical approximations of a multiobjective optimization problem to the initial optimal con
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Kerbal, S., and N. U. Ahmed. "Optimal boundary control of distributed systems involving dynamic boundary conditions." Mathematical Problems in Engineering 3, no. 5 (1998): 387–411. http://dx.doi.org/10.1155/s1024123x97000616.

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In this paper we consider Lagrange type control problem for systems involving dynamic boundary conditions that is, with boundary operators containing time derivatives. Assuming the existence of optimal controls,B-evolutions theory is used to present necessary conditions of optimality. The result is illustrated by an example from heat transfer problem and also an algorithm for computing optimal controls is presented.
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Kowalewski, Adam, and Anna Krakowiak. "Optimal boundary control problems of retarded parabolic systems." Archives of Control Sciences 23, no. 3 (2013): 261–79. http://dx.doi.org/10.2478/acsc-2013-0016.

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Abstract Optimal boundary control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.
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Lefebvre, Mario. "An optimal control problem without control costs." Mathematical Biosciences and Engineering 20, no. 3 (2023): 5159–68. http://dx.doi.org/10.3934/mbe.2023239.

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<abstract><p>A two-dimensional diffusion process is controlled until it enters a given subset of $ \mathbb{R}^2 $. The aim is to find the control that minimizes the expected value of a cost function in which there are no control costs. The optimal control can be expressed in terms of the value function, which gives the smallest value that the expected cost can take. To obtain the value function, one can make use of dynamic programming to find the differential equation it satisfies. This differential equation is a non-linear second-order partial differential equation. We find explic
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Bollo, Carolina M., Claudia M. Gariboldi, and Domingo A. Tarzia. "Neumann boundary optimal control problems governed by parabolic variational equalities." Control and Cybernetics 50, no. 2 (2021): 227–52. http://dx.doi.org/10.2478/candc-2021-0012.

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Abstract We consider a heat conduction problem S with mixed boundary conditions in an n-dimensional domain Ω with regular boundary and a family of problems Sα with also mixed boundary conditions in Ω, where α > 0 is the heat transfer coefficient on the portion of the boundary Γ1. In relation to these state systems, we formulate Neumann boundary optimal control problems on the heat flux q which is definite on the complementary portion Γ2 of the boundary of Ω. We obtain existence and uniqueness of the optimal controls, the first order optimality conditions in terms of the adjoint state and th
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Moiseev, E. I., and A. A. Kholomeeva. "On an optimal boundary control problem with a dynamic boundary condition." Differential Equations 49, no. 5 (2013): 640–44. http://dx.doi.org/10.1134/s0012266113050133.

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Dissertations / Theses on the topic "Boundary Optimal Control Problem"

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Bondarenko, Oleksandr. "Optimal Control for an Impedance Boundary Value Problem." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136.

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We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface impedance so that a desired scattering amplitude is achieved. We formulate this control problem within the framework of the minimization of a Tikhonov functional. In particular, questions of the existence of an optimal solution and the derivation of the optimality conditions will be addressed.<br>Master
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Veljović, Slobodan. "Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU)." Aachen Shaker, 2010. http://d-nb.info/1002144639/04.

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Sandro, Manservisi. "Optimal Boundary and Distributed Controls for the Velocity Tracking Problem for Navier-Stokes Flows." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30608.

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The velocity tracking problem is motivated by the desire to match a desired target flow with a flow which can be controlled through time dependent distributed forces or time dependent boundary conditions. The flow model is the Navier-Stokes equations for a viscous incompressible fluid and different kinds of controls are studied. Optimal distributed and boundary controls minimizing a quadratic functional and an optimal bounded distributed control are investigated. The distributed optimal and the bounded control are compared with a linear feedback control. Here, a unified mathematical formula
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Bernauer, Martin K., and Roland Herzog. "Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation." Universitätsbibliothek Chemnitz, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-62014.

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Optimal control (motion planning) of the free interface in classical two-phase Stefan problems is considered. The evolution of the free interface is modeled by a level set function. The first-order optimality system is derived on a formal basis. It provides gradient information based on the adjoint temperature and adjoint level set function. Suitable discretization schemes for the forward and adjoint systems are described. Numerical examples verify the correctness and flexibility of the proposed scheme.
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Fernando, Chathuri [Verfasser]. "Optimal Control of Free Boundary Value Problems in Thermoelasticity / Chathuri Fernando." München : Verlag Dr. Hut, 2018. http://d-nb.info/1164294075/34.

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Zhang, Jindong. "Nonlinear dynamic analysis and optimal control of shallow shells by field-boundary-element approach." Diss., Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/32961.

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Chierici, Andrea <1992&gt. "Mathematical and Numerical Models for Boundary Optimal Control Problems Applied to Fluid-Structure Interaction." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amsdottorato.unibo.it/9856/1/thesis_chierici.pdf.

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The main purpose of this work is to develop mathematical and numerical methods for the optimal control of fluid-structure interaction simulations. In particular, we focus on the Koiter shell fluid-structure model and on the adjoint formalism for the control problem. Using the Koiter approach, the dimensionality of the solid is reduced to reduce the computational cost of the fluid-structure simulations. In order to couple the fluid and the structure domains, the Koiter shell equations are embedded into the fluid equations as a Robin boundary condition. The coupling fluid-structure conditions
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Goldberg, H., and F. Tröltzsch. "On a SQP-multigrid technique for nonlinear parabolic boundary control problems." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801210.

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An optimal control problem governed by the heat equation with nonlinear boundary conditions is considered. The objective functional consists of a quadratic terminal part and a quadratic regularization term. It is known, that an SQP method converges quadratically to the optimal solution of the problem. To handle the quadratic optimal control subproblems with high precision, very large scale mathematical programming problems have to be treated. The constrained problem is reduced to an unconstrained one by a method due to Bertsekas. A multigrid approach developed by Hackbusch is applied to solve
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John, Christian [Verfasser], and Fredi [Akademischer Betreuer] Tröltzsch. "Optimal Dirichlet boundary control problems of high-lift configurations with control and integral state constraints / Christian John. Betreuer: Fredi Tröltzsch." Berlin : Universitätsbibliothek der Technischen Universität Berlin, 2011. http://d-nb.info/1014971624/34.

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Schmitt, Johann Michael [Verfasser]. "Optimal Control of Initial-Boundary Value Problems for Hyperbolic Balance Laws with Switching Controls and State Constraints / Johann Michael Schmitt." München : Verlag Dr. Hut, 2019. http://d-nb.info/1188516450/34.

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Books on the topic "Boundary Optimal Control Problem"

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Colli, Pierluigi, Angelo Favini, Elisabetta Rocca, Giulio Schimperna, and Jürgen Sprekels, eds. Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64489-9.

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Regional, Scientific Session of Mathematicians (6th 1986 Żagań Poland). Differential equations and optimal control: Proceedings of the sixth Regional Scientific Session of Mathematicians held in Żagań, September 1986 : Section, Differential equations. Wydawn. Uczelniane Wyższej Szkoły Inżynierskiej im. Jurija Gagarina w Zielonej Górze, 1987.

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Gugat, Martin. Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18890-4.

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Shlomo, Ta'asan, and Institute for Computer Applications in Science and Engineering., eds. Multigrid one shot methods for optimal control problems, infinite dimensional control. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Sivananthan, A. Boundary conditions for optimal "impulse" control of a one dimensional Wiener process. Glasgow University, Department of Political Economy, 1996.

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The Ulam problem of optimal motion of line segments. Optimization Software, Publications Division, 1985.

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Archibald, T. W. An optimal policy for a two depot inventory problem with stock transfer. University of Edinburgh, Management School, 1994.

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C, Turner James, and Institute for Computer Applications in Science and Engineering., eds. Finite element approximation of an optimal control problem for the Von Karman equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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C, Turner James, and Institute for Computer Applications in Science and Engineering., eds. Finite element approximation of an optimal control problem for the Von Karman equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Hindy, Ayman. Numerical analysis of a free-boundary singular control problem in financial economics. Alfred P. Sloan School of Management, Massachusetts Institute of Technology, 1993.

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Book chapters on the topic "Boundary Optimal Control Problem"

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Dikoussar, Vassili V. "Continuation Methods in Boundary Value Problems." In Computational Optimal Control. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8497-6_5.

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Tröltzsch, Fredi. "Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems." In Optimal Control. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-7539-4_5.

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Haslinger, J., and P. D. Panagiotopoulos. "Optimal control of hemivariational inequalities. Approximation results." In Numerical Methods for Free Boundary Problems. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_14.

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Panagiotopoulos, P. D. "Optimal Control of Systems Governed by Hemivariational Inequalities. Necessary Conditions." In Free Boundary Value Problems. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7301-7_13.

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Trigub, M. V. "Numerical solution of free boundary problem in optimal control of nonlinear systems." In Numerical Methods for Free Boundary Problems. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_38.

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Martí, Pau, Manel Velasco, and Enrico Bini. "The Optimal Boundary and Regulator Design Problem for Event-Driven Controllers." In Hybrid Systems: Computation and Control. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00602-9_31.

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Neittaanmäki, P., and D. Tiba. "Optimal control for state constrained two-phase Stefan problems." In Numerical Methods for Free Boundary Problems. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_27.

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John, Christian, Bernd R. Noack, Michael Schlegel, Fredi Tröltzsch, and Daniel Wachsmuth. "Optimal Boundary Control Problems Related to High-Lift Configurations." In Active Flow Control II. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11735-0_26.

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Kapustyan, V. O., O. A. Kapustian, and O. K. Mazur. "Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem." In Continuous and Distributed Systems. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03146-0_21.

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Bahaa, Gaber M., and Delfim F. M. Torres. "Time-Fractional Optimal Control of Initial Value Problems on Time Scales." In Nonlinear Analysis and Boundary Value Problems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26987-6_15.

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Conference papers on the topic "Boundary Optimal Control Problem"

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Ashyralyev, Allaberen, and Y. A. Sharifov. "Optimal control problem for impulsive systems with integral boundary conditions." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747627.

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Sharifov, Yagub, and Nazakat Mammadova. "Optimal control problem for impulsive systems with integral boundary conditions." In 2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI). IEEE, 2012. http://dx.doi.org/10.1109/icpci.2012.6486434.

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Taksar, Michael. "Free boundary control of Brownian motion and a related optimal stopping problem." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267170.

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Kholomeeva, A. A., and E. I. Moiseev. "On an optimal boundary control problem for 1-D wave equation with a damping boundary condition." In 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. AIP, 2013. http://dx.doi.org/10.1063/1.4854762.

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Lew, Jiann-Shiun, and D. Joseph Mook. "Jump Discontinuous Two Point Boundary Value Problems In Optimal Control." In 1992 American Control Conference. IEEE, 1992. http://dx.doi.org/10.23919/acc.1992.4792047.

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Al-Rawdanee, Eman H., and Jamil A. Ali Al-Hawasy. "Mixed Methods for Solving Classical Optimal Control Governing by Nonlinear Hyperbolic Boundary Value Problem." In 2019 First International Conference of Computer and Applied Sciences (CAS). IEEE, 2019. http://dx.doi.org/10.1109/cas47993.2019.9075615.

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Hirsch, S. M., and J. Q. Sun. "Spatial Characteristics of Acoustic Boundary Control for Interior Noise Suppression." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3792.

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Abstract Suppressing interior sound radiation in aircraft and automobiles is a important problem. There are two mainstream methods for this problem: active noise cancellation (ANC) and active structural acoustic controls (ASAC). An ANC system often requires a high dimensionality to achieve the level of global noise reduction in a three dimensional volume that ASAC systems with a relatively low dimensionality are capable of, while actuators for structural control systems are power intensive. There are also concerns that structural controls may cause damages to the structure. This paper develops
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Chen, Zhelin, Joseph Bentsman, and Brian G. Thomas. "Optimal Control of Free Boundary of a Stefan Problem for Metallurgical Length Maintenance in Continuous Steel Casting." In 2019 American Control Conference (ACC). IEEE, 2019. http://dx.doi.org/10.23919/acc.2019.8815355.

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Korayem, Moharam H., Mojtaba Abolhasani, Vahid Azimirad, and Hassan Ansari. "Trajectory Planning for Tricycle Mobile Manipulator With Moving Boundary Conditions Using Optimal Control Approach." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-25060.

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In the present paper optimal path of the tricycle nonholonomic robot with two-link manipulator, obeying a particular equation with moving boundary conditions is obtained. These boundary conditions are a set of points that are called the moving boundaries. One of the main applications of this method is handling and transporting parts from one place to another by employing the aid of robot with cable strip. For example, for putting the tools and industrial parts in proper places in the product line, the reductions of time, cost and energy are guaranteed by a precise schematization and defining t
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Biswas, Raj Kumar, and Siddhartha Sen. "Numerical Method for Solving Fractional Optimal Control Problems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87008.

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A numerical technique for the solution of a class of fractional optimal control problems has been proposed in this paper. The technique can used for problems defined both in terms of Riemann-Liouville and Caputo fractional derivatives. In this technique a Reflection Operator is used to convert the right Riemann-Liouville derivative into an equivalent left Riemann-Liouville derivative, and then the two point boundary value problem is solved numerically. The proposed method is straightforward and it uses an available numerical technique to solve fractional differential equations resulting from t
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Reports on the topic "Boundary Optimal Control Problem"

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Chi, Hongmei, and Yanzhao Cao. Numerical Solution of Optimal Control Problem under SPDE Constraints. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada564030.

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Torina, V., S. Filatov, and M. Stratu. Mathematical study of cylindrical-piston wear groups by the method of boundary elements. ISG-Konf.com, 2021. http://dx.doi.org/10.31812/123456789/4537.

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Parkins, R. N., and R. R. Fessler. NG-18-85-R01 Line Pipe Stress Corrosion Cracking Mechanisms and Remedies. Pipeline Research Council International, Inc. (PRCI), 1986. http://dx.doi.org/10.55274/r0012143.

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Stress corrosion cracking of line pipe from the soil side involves slow crack growth at stresses which may be as low as half the yield strength, this slow crack growth continuing until the crack penetrates the wall to produce a leak or until the stress intensity on the uncracked ligament reaches the value for a fast fracture to penetrate the wall thickness. The controlling parameters that contribute to the mechanism of failure, essentially involving growth by dissolution in the grain boundary regions, are, as with other systems displaying such failure, electrochemical, mechanical, and metallur
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Molotylnikova, Vira. MODERN TYPES OF BODY RELAXATION METHODS AFTER INTENSE PHYSICAL EXERTION. Intellectual Archive, 2022. http://dx.doi.org/10.32370/iaj.2748.

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The article presents varieties and variants of relaxation techniques advisable to use after intense physical exertion. The concept of "relaxation" and understanding of its role in physical education to maintain health and harmonious development of youth are considered. Considering the fact that one of the main trends in sports remains the increase in the intensity of training and the need to improve the results of competitions, the problem of restoring the athlete's performance capacity after physical exertion is extremely relevant today. Understanding the causes of fatigue and the physiologic
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Lagutin, Andrey, and Tatyana Sidorina. SYSTEM OF FORMATION OF PROFESSIONAL AND PERSONAL SELF-GOVERNMENT AMONG CADETS OF MILITARY INSTITUTES. Science and Innovation Center Publishing House, 2020. http://dx.doi.org/10.12731/self-government.

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When carrying out professional activities, officers of the VNG of the Russian Federation are often in difficult, stressful, emotionally stressful situations associated with the use of weapons as a particularly dangerous means of destruction. The right to use a weapon by an officer makes him responsible for its use. And therefore requires the officer to make a balanced optimal decision, which is associated with the risk and transience of events, and in which no mistake can be made, since the price of it can be someone's life. It is at such a moment that it is important that the officer has stab
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An Input Linearized Powertrain Model for the Optimal Control of Hybrid Electric Vehicles. SAE International, 2022. http://dx.doi.org/10.4271/2022-01-0741.

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Models of hybrid powertrains are used to establish the best combination of conventional engine power and electric motor power for the current driving situation. The model is characteristic for having two control inputs and one output constraint: the total torque should be equal to the torque requested by the driver. To eliminate the constraint, several alternative formulations are used, considering engine power or motor power or even the ratio between them as a single control input. From this input and the constraint, both power levels can be deduced. There are different popular choices for th
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