The logarithmic norm. History and modern theory

By Gustaf Söderlind. 2006

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Contractive Systems with Inputs (2010, background): “We remark that in some cases it might be possible to prove a strict contraction (K = 1) even if the domain is not convex, by appealing to the deeper theory of logarithmic Lipschitz constants (see [14] for definitions and details).”
Contraction methods for nonlinear systems: A brief introduction and some open problems (2014, methodology): “Remark 1: [19], [18] Another way to define M± is by the concept of semi inner product which is in fact a generalization of inner product to non Hilbert spaces.”
A Lohner-type algorithm for control systems and ordinary differential inclusions (2007, background): “A survey regarding the modern developments stemming from this notion the reader is referred to [ 19 ] and the literature given there.”
A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems (2012, unknown): “The relation to the spectral abscissa and the spectral radius are provided by the inequalities α(A) ≤ μp[A] and ρ(A) ≤ ‖A‖p for any induced matrix norm ‖·‖p, see [11, 33].”