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Distributed Control of Spatially Reversible Interconnected Systems with Boundary Conditions

Langbort, Cédric and D'Andrea, Raffaello (2005) Distributed Control of Spatially Reversible Interconnected Systems with Boundary Conditions. SIAM Journal on Control and Optimization, 44 (1). pp. 1-28. ISSN 0363-0129. doi:10.1137/S0363012902415803.

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We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular, well-posedness, stability, and performance of the extension imply the same characteristics for the actual, finite extent system. In turn, existing synthesis methods for control of spatially invariant systems can be extended to this class. The relation between the two kinds of systems is proved using ideas based on the "method of images" of partial differential equations theory and uses symmetry properties of the interconnection as a key tool.

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Additional Information:© 2005 Society for Industrial and Applied Mathematics. Received by the editors October 5, 2002; accepted for publication (in revised form) August 23, 2004; published electronically June 14, 2005. This work was supported in part by a National Science Foundation CAREER Award for “Robust and Optimal Control of Interconnected Systems” and in part by the Air Force Office of Scientific Research under grant F49620-01-1-0119.
Subject Keywords:spatially distributed control, symmetric systems, boundary conditions
Issue or Number:1
Record Number:CaltechAUTHORS:LANsiamjco05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:825
Deposited By: Archive Administrator
Deposited On:10 Oct 2005
Last Modified:08 Nov 2021 19:05

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