期刊名称：FEEM Working Papers / Fondazione Eni Enrico Mattei = Nota di Lavoro
出版年度：2010
卷号：2010
出版社：Milano
摘要：This paper develops linear quadratic robust control theory for a class of spatially invariant distributed control systems that appear in areas of economics such as New Economic Geography, management of ecological systems, optimal harvesting of spatially mobile species, and the like. Since this class of problems has an infinite dimensional state and control space it would appear analytically intractable. We show that by Fourier transforming the problem, the solution decomposes into a countable number of finite state space robust control problems each of which can be solved by standard methods. We use this convenient property to characterize “hot spots” which are points in the transformed space that correspond to “breakdown” points in conventional finite dimensional robust control, or where instabilities appear or where the value function loses concavity. We apply our methods to a spatial extension of a well known optimal fishing model.
关键词：Distributed Parameter Systems; Robust Control; Spatial Invariance; Hot Spot; Agglomeration
