Robust Control and Hot Spots in Dynamic Spatially Interconnected Systems

William Brock and Anastasios Xepapadeas

No 1024, DEOS Working Papers from Athens University of Economics and Business

Abstract: 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 in��nite 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 ��nite 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 ��nite 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 ��shing model.

Keywords: Distributed parameter systems; robust control; spatial invariance; hot spot; agglomeration. (search for similar items in EconPapers)
JEL-codes: C61 C65 Q22 (search for similar items in EconPapers)
Date: 2010
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http://wpa.deos.aueb.gr/docs/BX_Distributed_Robust_Contr(15August2010).pdf First version (application/pdf)

Related works:
Working Paper: Robust Control and Hot Spots in Dynamic Spatially Interconnected Systems (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:aue:wpaper:1024

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