Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/43499 
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dc.contributor.authorBrock, Williamen
dc.contributor.authorXepapadeas, Anastasiosen
dc.date.accessioned2010-12-14-
dc.date.accessioned2010-12-22T10:43:05Z-
dc.date.available2010-12-22T10:43:05Z-
dc.date.issued2010-
dc.identifier.urihttp://hdl.handle.net/10419/43499-
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
dc.language.isoengen
dc.publisher|aFondazione Eni Enrico Mattei (FEEM) |cMilanoen
dc.relation.ispartofseries|aNota di Lavoro |x2010,155en
dc.subject.jelC61en
dc.subject.jelC65en
dc.subject.jelQ22en
dc.subject.ddc330en
dc.subject.keywordDistributed Parameter Systemsen
dc.subject.keywordRobust Controlen
dc.subject.keywordSpatial Invarianceen
dc.subject.keywordHot Spoten
dc.subject.keywordAgglomerationen
dc.titleRobust control and hot spots in dynamic spatially interconnected systems-
dc.typeWorking Paperen
dc.identifier.ppn641663730en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen

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