TY - JOUR
T1 - Spatial discretization and approximation of distributed feedback loops and inputs
AU - Kannai, Yakar
AU - Kelemen, Matei
AU - Horowitz, Isaac
PY - 1990
Y1 - 1990
N2 - The problem of approximating distributed feedback loops and inputs by discrete (in space) ones is studied in some detail. The proof is based on the Fredholm-Hilbert idea for solving integral equations. The main result gives sufficient conditions on the plant, input, and compensator enabling such an approximation. The result is illustrated by two examples. One of them is a heat equation and another is a (damped) wave equation for which boundary value problems are solved.
AB - The problem of approximating distributed feedback loops and inputs by discrete (in space) ones is studied in some detail. The proof is based on the Fredholm-Hilbert idea for solving integral equations. The main result gives sufficient conditions on the plant, input, and compensator enabling such an approximation. The result is illustrated by two examples. One of them is a heat equation and another is a (damped) wave equation for which boundary value problems are solved.
UR - http://www.scopus.com/inward/record.url?scp=0025532494&partnerID=8YFLogxK
U2 - 10.1109/cdc.1990.203617
DO - 10.1109/cdc.1990.203617
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AN - SCOPUS:0025532494
SN - 0191-2216
VL - 2
SP - 373
EP - 374
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)
Y2 - 5 December 1990 through 7 December 1990
ER -