Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates.

*(English)*Zbl 1248.34123This paper examines delay-dependent stochastic stability for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates of the form
\[
\begin{split} \dot{z}(t)=-A(r(t))z(t)+B(r(t))f(z(t))+C(r(t))f(z(t-h(r(t), t)))\\ +D(r(t))\int^t_{t-d(r(t), t)}f(z(s))ds. \end{split}
\]
By means of a Lyapunov functional and LMI techniques, this paper establishes some stochastic stability criteria. A numerical example is presented to illustrated these results.

Reviewer: Fuke Wu (Wuhan)

##### MSC:

34K50 | Stochastic functional-differential equations |

34K20 | Stability theory of functional-differential equations |

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\textit{J. Tian} et al., Appl. Math. Comput. 218, No. 9, 5769--5781 (2012; Zbl 1248.34123)

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