A Novel Approach to Mean Square Exponential Stability of Stochastic Delay Differential Equations

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A Novel Approach to Mean Square Exponential Stability of Stochastic Delay Differential Equations

Ngoc, Pham Huu Anh; Hieu, Le Trung

IEEE transactions on automatic control, 05/2021, Volume: 66, Issue: 5

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We present a novel approach to the mean square exponential stability of stochastic delay differential equations. Consequently, some new explicit criteria for the mean square exponential stability of general nonlinear stochastic delay differential equations are derived. Both delay-independent and delay-dependent stability criteria are given, and illustrative examples are also provided.

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