Asymptotic stability for stochastic differential delay equations with Markovian switching

Xuerong Mao · 2004

Recently Mao et al. [16] established a number of useful stability criteria in terms of M-matrices for the exponential stability of nonlinear stochastic differential delay equations with Markovian switching. However, there are many such equations whose solutions will tend to zero asymptotically but may not exponentially. The main aim of this paper is to discuss the asymptotic stability.

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