Abstract
This chapter focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state”, in the delayed “state” and norm bounded time varing quasilinear uncertainties in the difference operator. Two unknown constant delays, in the delayed “stale” and in the difference operator, lead to consider a more general delay-dependent robust stability problem. The analysis is performed via Lyapunov-Krasovskii functional approach. The main difference with respect to 18 is that we obtain sufficient conditions for robust stability given in tenns of the existence of positive dcfinite solutions of LMIs. Thc proposed stability analysis extends some previous results on the subject.
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Rodriguez, S.A., Dion, JM., Dugard, L. (2004). Robust Delay Dependent Stability Analysis of Neutral Systems. In: Niculescu, SI., Gu, K. (eds) Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18482-6_20
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DOI: https://doi.org/10.1007/978-3-642-18482-6_20
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