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The theory of moments and the boundary controllability of the diffusion equation

✍ Scribed by D.A. Wilson; J.E. Rubio

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
451 KB
Volume
326
Category
Article
ISSN
0016-0032

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✦ Synopsis

The problem of controlling the heatflow at one boundary of a one-dimensional system, by manipulating the temperature at the other boundary is considered. By the use of equations based on the theory of d@erential forms, linear relationships are derived between the moments of the input and output functions; by means of these equations it is proved that the space of heat Jlow functions at a boundary due to admissible controlfunctions at the other boundary is dense in L,[O, T].

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