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Exponential stability of a mono-tubular heat exchanger equation with output feedback. (English) Zbl 1157.93460

Summary: This paper is concerned with stability analysis of a mono-tubular heat exchanger equation with static output feedback. The mono-tubular heat exchanger equation is exponentially stable when the input variable is identically zero. In this paper, it is shown that the \(C_{0}\)-semigroup generated by the closed-loop operator consisting of the mono-tubular heat exchanger equation and the output feedback law satisfies the spectrum determined growth assumption.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
80A20 Heat and mass transfer, heat flow (MSC2010)
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