Open Access
January 2007 On reachability of parallel-flow heat exchanger equations with boundary inputs
Hideki Sano
Proc. Japan Acad. Ser. A Math. Sci. 83(1): 1-4 (January 2007). DOI: 10.3792/pjaa.83.1

Abstract

This paper is concerned with the problem of reachability of parallel-flow heat exchanger equations with boundary inputs. It is shown that the system with boundary inputs is formulated as a boundary control system which is well-defined in the sense of Curtain and Zwart (1995), and further that it is reachable through a concrete expression of the solution. In addition, the reachable subspace is given for the case where only one boundary input is added to the system.

Citation

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Hideki Sano. "On reachability of parallel-flow heat exchanger equations with boundary inputs." Proc. Japan Acad. Ser. A Math. Sci. 83 (1) 1 - 4, January 2007. https://doi.org/10.3792/pjaa.83.1

Information

Published: January 2007
First available in Project Euclid: 31 January 2007

zbMATH: 1119.93015
MathSciNet: MR2298986
Digital Object Identifier: 10.3792/pjaa.83.1

Subjects:
Primary: 93C20
Secondary: 93B99

Keywords: $C_0$-semigroup , boundary input , characteristic differential equation , Parallel-flow heat exchanger equation , reachability

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 1 • January 2007
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