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Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates. (English) Zbl 1248.34123
This 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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