On contraction of functional differential equations with Markovian switching

General functional differential equations with Markovian switching are considered. Exponential contraction in mean square of such equations is investigated. By a novel approach, explicit criteria for the exponential contraction in mean square are derived. An illustrative example is given.

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This paper investigates the exponential contraction in mean square of general functional differential equations with Markovian switching. Explicit criteria for such contraction are derived through a novel approach. An illustrative example is provided.