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IMA Journal of Mathematical Control and Information 1998 15(4):317-330; doi:10.1093/imamci/15.4.317
© 1998 by Institute of Mathematics and its Applications
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Stability analysis of heat-exchanger equations with boundary feedbacks

NOBORU KUNIMATSU  and HIDEKI SANO {dagger}

Department of Mathematics, Faculty of Science and Technology, Keio University 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223, Japan
Department of Intelligent Mechanics, Faculty of Biology-Oriented Science and Technology, Kinki University 930 Nishimitani, Uchita-cho, Naga-gun, Wakayama, 649-64, Japan

This paper investigates the exponential stabilily of a model of a heat exchanger of counterflow type, whose boundary conditions are governed by boundary feedbacks. A theorem by F.L. Huang is applied to prove that the system satisfies the spectrum-determined growth assumption.

Keywords: Spectrum-determined growth assumption; exponential stability.

{dagger}Present address: Department of Mathematics and Computer Science, Faculty of Science, Kagoshima University, 1-21-35 Korimoto, Kagoshima, 890, Japan.


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