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Almost Sure Practical Exponential Stability of Nonlinear Disturbed Stochastic Systems with Guaranteed Decay Rate |
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| Authors: | Asma Barbata Michel Zasadzinski Ridha Chatbouri Harouna Souley Ali Hassani Messaoud |
| Affiliation: | 1. Centre de Recherche en Automatique de Nancy (CRAN‐UMR 7039), CNRS, Université de Lorraine, Cosnes et Romain, France;2. Laboratoire de Physique‐Mathématique, Fonctions Spéciales et Applications, Hammam‐Sousse, Tunisie;3. Ecole Nationale d'Ingénieurs de Monastir, Monastir, Tunisie |
| Abstract: | In this paper, we consider nonlinear stochastic differential equations driven by multiplicative noises and affected by exogenous disturbances. Sufficient conditions are investigated for almost sure practical exponential stability of the non trivial solutions of these equations. A lower bound of the decay rate of these solutions is guaranteed. |
| Keywords: | Stochastic differential equations almost sure practical exponential stability nontrivial solutions disturbance rejection decay rate |
