In this contribution we study the problem of finding a Lyapunov matrix for neutral-type systems with distributed delay and exponential kernel. In previous works an attempt was made to reduce this problem to the computation of solutions to an auxiliary delay-free system with boundary conditions. In this paper we propose new boundary conditions allowing a significant extension of existing results. It is established that the new auxiliary boundary value problem has a unique solution if and only if there exists a unique Lyapunov matrix.
CITATION STYLE
Aliseyko, A. N. (2019). Lyapunov matrices for neutral time-delay systems with exponential kernel. Systems and Control Letters, 131. https://doi.org/10.1016/j.sysconle.2019.104497
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