Halanay inequality is a comparison theorem for differential equations with delay.
[1] This inequality and its generalizations have been applied to analyze the stability of delayed differential equations, and in particular, the stability of industrial processes with dead-time[2] and delayed neural networks.
be a real number and
τ
be a non-negative number.
− τ , ∞ ) →
v ( t ) ≤ − α v ( t ) + β
s ∈ [ t − τ , t ]
α > β > 0
− η
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