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In this paper we build on the spectral theory for linear fractional differential equations and prove that the fractional Lyapunov spectrum of solutions starting from a unit sphere is the union of a compact interval in R<0 and at most d distinct fractional Lyapunov exponents. AMS Subject Classifications: 34A08, 34D08.
This brief addresses the problem of global dissipativity analysis of nonautonomous neural networks with multiple proportional delays. By using a novel constructive approach based on some comparison techniques for differential inequalities, new explicit delay-independent conditions are derived using M-matrix theory to ensure the existence of generalized… (More)
In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus-response… (More)