Hierarchical Control of a Linear Diffusion Equation
作者： Anthony J. Kearsley , Jon W. Tolle , Paul T. Boggs
DOI: 10.1007/978-3-642-55508-4_14
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摘要: As part of our study techniques for solving PDE-constrained optimization problems, weinvestigate a pertinent class hierarchical control problems. In first step towards addressing the difficultiesencountered in simulating reservoirs optimal well placement and other multi-objective we consider approximate pointwise linear parabolic system with multiple targets. Assuming hierarchy among objectives, derive optimality conditions obtain numerical results particular test problem.
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sci-hub.st 参考文章(14)
Paul T. Boggs, Anthony J. Kearsley, Jon W. Tolle, A Global Convergence Analysis of an Algorithm for Large-Scale Nonlinear Optimization Problems Siam Journal on Optimization. ,vol. 9, pp. 833- 862 ,(1999) , 10.1137/S1052623497316026
C. Carthel, R. Glowinski, J. L. Lions, On exact and approximate boundary controllabilities for the heat equation: a numerical approach Journal of Optimization Theory and Applications. ,vol. 82, pp. 429- 484 ,(1994) , 10.1007/BF02192213
Lu�s N. Vicente, Paul H. Calamai, Bilevel and multilevel programming: A bibliography review Journal of Global Optimization. ,vol. 5, pp. 291- 306 ,(1994) , 10.1007/BF01096458
Y. Chen, M. Florian, The nonlinear bilevel programming problem:formulations,regularity and optimality conditions Optimization. ,vol. 32, pp. 193- 209 ,(1995) , 10.1080/02331939508844048
A. J. Kearsley, L. C. Cowsar, R. Glowinski, M. F. Wheeler, I. Yotov, New optimization approach to multiphase flow Journal of Optimization Theory and Applications. ,vol. 111, pp. 473- 488 ,(2001) , 10.1023/A:1012689626027
Andrew E. W. Jones, G. W. Forbes, An Adaptive Simulated Annealing Algorithm for Global Optimization over Continuous Variables Journal of Global Optimization. ,vol. 6, pp. 1- 37 ,(1995) , 10.1007/BF01106604
J. R. Hicks, H. von Stackelberg, Marktform und Gleichgewicht Economica. ,vol. 45, pp. 227- ,(1935) , 10.2307/2224643
Paul T. Boggs, Anthony J. Kearsley, Jon W. Tolle, A Practical Algorithm for General Large Scale Nonlinear Optimization Problems Siam Journal on Optimization. ,vol. 9, pp. 755- 778 ,(1999) , 10.1137/S105262349426722X
R. Glowinski, J.L. Lions, Exact and approximate controllability for distributed parameter systems Acta Numerica. ,vol. 4, pp. 159- 328 ,(1994) , 10.1017/S0962492900002543
Roger M. Y. Ho, Goal programming and extensions ,(1976)