Exponential stability of semi-linear one-dimensional balance laws
(2017) Feedback stabilization of controlled dynamical systems : lecture notes in control and information sciences — ISBN: [9783319512976], p. 265-278, published
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- Authors
Bastin, Georges 
- 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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Citations
Bastin, G., & Coron, J.-M. (2017). Exponential stability of semi-linear one-dimensional balance laws. In Nicolas Petit (Ed.) (ed.), Feedback stabilization of controlled dynamical systems : lecture notes in control and information sciences (p. p. 265-278). https://doi.org/10.1007/978-3-319-51298-3_10