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Zbl 1248.34123
Tian, Junkang; Li, Yongming; Zhao, Jinzhou; Zhong, Shouming
Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates. (English)
[J] Appl. Math. Comput. 218, No. 9, 5769-5781 (2012). ISSN 0096-3003

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 $$\multline \dot{z}(t)=-A(r(t))z(t)+B(r(t))f(z(t))+C(r(t))f(z(t-h(r(t), t)))\\ +D(r(t))\int^t_{t-d(r(t), t)}f(z(s))ds. \endmultline$$ 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.
[Fuke Wu (Wuhan)]

MSC 2000:: *34K50 Stochastic delay equations
34K20 Stability theory of functional-differential equations

Keywords: stochastic stability; Markovian jumping neural networks; time-varying delays

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