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About one application of the general method of Lyapunov functionals construction. (English) Zbl 1075.93017
Summary: Some peculiarities of the general method of Lyapunov functionals construction, proposed and developed by the authors during the last decade for stability investigation of stochastic hereditary systems, are considered. It is shown, in particular, that, using this method, one can construct a sequence of extended stability regions for stochastic difference Volterra equations.

MSC:
93C23 Control/observation systems governed by functional-differential equations
93D30 Lyapunov and storage functions
93D20 Asymptotic stability in control theory
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