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Criteria of the mean-square asymptotic stability of solutions of systems of linear stochastic difference equations with continuous time and delay

✍ Scribed by D. G. Korenevskii

Book ID
110544701
Publisher
Springer
Year
1998
Tongue
English
Weight
910 KB
Volume
50
Category
Article
ISSN
0041-5995

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πŸ“œ SIMILAR VOLUMES

Mean square stability of difference equa
Mean square stability of difference equations with a stochastic delay
✍ V.B. Kolmanovskii; T.L. Maizenberg; J.-P. Richard πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 107 KB

The paper describes mean-square stability conditions for nonlinear delay di erence equations with a stochastic delay. The ΓΏrst part develops a formula for the inΓΏnitesimal operator. Using this formula asymptotic mean square stability conditions are derived. A ΓΏnal example is provided.

Necessary and sufficient conditions of a
Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
✍ L. Shaikhet πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 190 KB

Many processes in automatic regulation, physics, mechanics, biology, economy, ecology, etc. can be modelled by hereditary systems (see, e.g., [1][2][3][4]). One of the main problems for the theory of such systems and their applications is connected with stability (see, e.g., [2][3][4]). Many stabili