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Exponential stability of semi-linear one-dimensional balance laws

Springer Verlag, (2017), 265-278
DOI: 10.1007/978-3-319-51298-3_10
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Abstract

Raman amplifiers and plug flow chemical reactors are typical examples of engineering systems that are conveniently represented by semi-linear one-dimensional systems of balance laws. The main goal of this chapter is to explain how a quadratic Lyapunov function can be used to prove the exponential stability of the steady state for this class of hyperbolic systems.

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Bastin, G., & Coron, J. M. (2017). Exponential stability of semi-linear one-dimensional balance laws. In Lecture Notes in Control and Information Sciences (Vol. 473, pp. 265–278). Springer Verlag. https://doi.org/10.1007/978-3-319-51298-3_10

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