Summary
This paper addresses the stabilization problem for neutral time-delay systems. Starting from a transfer approach, we develop a general algebraic framework for the study of the stabilization. The stability considered in this paper is the exponential one. We introduce a class of generalized operators, and we show the existence of a coprime factorization over this class. The main result of this paper concerns strictly proper systems that are not formally stable. It is shown that any stabilizing compensator, which is a real rational fraction in s and e − θs, is necessarily not proper.
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Di Loreto, M., Bonnet, C., Loiseau, J.J. (2009). Stabilization of Neutral Time-Delay Systems. In: Loiseau, J.J., Michiels, W., Niculescu, SI., Sipahi, R. (eds) Topics in Time Delay Systems. Lecture Notes in Control and Information Sciences, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02897-7_18
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DOI: https://doi.org/10.1007/978-3-642-02897-7_18
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