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dc.contributor.authorBrock, Williamen_US
dc.contributor.authorXepapadeas, Anastasiosen_US
dc.description.abstractThis 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.en_US
dc.publisher|aFondazione Eni Enrico Mattei (FEEM) |cMilanoen_US
dc.relation.ispartofseries|aNota di lavoro // Fondazione Eni Enrico Mattei: Sustainable development |x2010,155en_US
dc.subject.keywordDistributed Parameter Systemsen_US
dc.subject.keywordRobust Controlen_US
dc.subject.keywordSpatial Invarianceen_US
dc.subject.keywordHot Spoten_US
dc.titleRobust control and hot spots in dynamic spatially interconnected systemsen_US
dc.type|aWorking Paperen_US

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