Some peculiarities of the general method of Lyapunov functionals construction.

*(English)*Zbl 1015.39001Authors’ abstract: The general method of Lyapunov functionals construction for stability investigation of stochastic hereditary systems which was proposed and developed before is considered. Some features of this method for difference systems which allow one to use the method more effectively are discussed.

Reviewer: Fozi Dannan (Doha)

##### MSC:

39A11 | Stability of difference equations (MSC2000) |

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

93D30 | Lyapunov and storage functions |

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\textit{V. Kolmanovskii} and \textit{L. Shaikhet}, Appl. Math. Lett. 15, No. 3, 355--360 (2002; Zbl 1015.39001)

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##### References:

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