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On exponential stability of linear non-autonomous functional differential equations of neutral type. (English) Zbl 1359.93401

Summary: General linear non-autonomous functional differential equations of neutral type are considered. A novel approach to exponential stability of neutral functional differential equations is presented. Consequently, explicit criteria are derived for exponential stability of linear non-autonomous functional differential equations of neutral type. A brief discussion to the obtained results and illustrative examples are given.

MSC:

93D20 Asymptotic stability in control theory
93C05 Linear systems in control theory
93C23 Control/observation systems governed by functional-differential equations

References:

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