Strong stabilization of neutral functional differential equations

By Jack K. Hale, S. Lunel. 2002

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Stability results for systems described by coupled retarded functional differential equations and functional difference equations (2007, background): “In recent works control-theoretic aspects for linear neutral functional differential equations are studied (see [7,8]).”
QPmR - Quasi-Polynomial Root-Finder: Algorithm Update and Examples (2014, background): “Let us remark that in literature on neutral systems, the associated exponential polynomial is referred to as the characteristic function of the associated difference equation defined for the neutral system [12, 17, 18].”
Collocation schemes for periodic solutions of neutral delay differential equations (2006, background): “case where equation (1) has a strongly stable difference operator [10,17]; in the simplest case where the delayed derivative term has a constant coefficient this means that the absolute value of this coefficient must be less than one.”
Time-delay systems: an overview of some recent advances and open problems (2003, background): “As stated in Hale and Verduyn-Lunel (1993), the uniqueness of the backward continuation is ensured provided that an additional property of “atomicity” is satis.”