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Delay-dependent exponential stability of uncertain stochastic systems with discrete and distributed delays. (English) Zbl 1188.93112
Summary: The problem of exponential stability in mean square for uncertain stochastic systems with discrete and distributed delays is investigated. A delay-dependent sufficient condition for robust stability is formulated in terms of Linear Matrix Inequalities (LMIs) by using a combination of integral inequality technique and descriptor model transformation approach. A numerical example is given to indicate the effectiveness of the developed techniques.
MSC:
93E15Stochastic stability
34K50Stochastic functional-differential equations
34K20Stability theory of functional-differential equations
60H10Stochastic ordinary differential equations
34H05ODE in connection with control problems
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