Stability of dynamic systems with aftereffect under Markov perturbations. (English. Russian original) Zbl 1153.34352
Cybern. Syst. Anal. 43, No. 6, 876-885 (2007); translation from Kibern. Sist. Anal. 2007, No. 6, 134-146 (2007).
Summary: Lyapunov-Krasovskii functionals and infinitesimal operators are employed to analyze global asymptotic stochastic stability.
MSC:
| 34K50 | Stochastic functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
Keywords:
stochastic functional-differential equation; Markov parameters; stability of a solution; Lyapunov-krasovskii methodReferences:
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