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On optimal feedback control of a class of linear distributed systems

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Abstract

Optimal modal feedback control laws are synthesized from the modal equations which are obtained by eigenfunction expansion of the diffusion equation systems with space-independent control, boundary control, and distributed control. Comparison between the modal feedback control laws and distributed feedback control laws are discussed. The results also indicate proper quadrature performance criteria for the synthesis of the distributed feedback control laws.

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Communicated by R. Jackson

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Shih, Y.P., Chu, C.K. On optimal feedback control of a class of linear distributed systems. J Optim Theory Appl 16, 327–338 (1975). https://doi.org/10.1007/BF01262939

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