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We propose an approximation method to solve large-scale optimal control problems for spatially distributed systems. The finite-section method is employed to construct finite-dimensional approximations to the large-scale optimal control problem. Then, we study the limit behavior of the approximation method and show that the solution of the approximate problems converge strongly to the solution of the...
One of the fundamental problems in the area of large-scale optimization is to study locality features of spatially distributed optimization problems in which the variables are coupled in the cost function as well as constraints. Such problems can motivate the development of fast and well-conditioned distributed algorithms. In this paper, we study spatial locality features of large-scale multi-parametric...
One of the fundamental problems in the area of large-scale constrained optimization problems is the study of the locality features of spatially distributed optimization problems, which can motivate the development of fast and well-conditioned distributed algorithms. We study the spatial locality features of large-scale, possibly infinite-dimensional, quadratic programming (QP) problems with linear...
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