| Authors |
Xepapadeas, A. and Brock, W. |
| Title |
Robust Control and Hot Spots in Dynamic Spatially Interconnected Systems |
| 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. |
| Classification JEL |
C61, C65, Q22 |
| File |
BX_Distributed_Robust_Contr(15August2010).pdf (291272 bytes) |
| File-Function |
First version |
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Copyright © 2009 [D.I.E.S.S. A.U.E.B.]. All rights reserved.
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