Almost sure exponential stability of large scale stochastic nonlinear systems

Autor: Harouna Souley Ali, Ridha Chatbouri, Michel Zasadzinski, Asma Barbata
Přispěvatelé: Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématique physique, fonctions spéciales et applications (MAPFSA), Université de Sousse-Ecole Supérieure des Sciences et de Technologie de Hammam Sousse, Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Stochastic Analysis and Applications
Stochastic Analysis and Applications, Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2018, 36 (5), pp.812-831. ⟨10.1080/07362994.2018.1467780⟩
ISSN: 0736-2994
1532-9356
DOI: 10.1080/07362994.2018.1467780⟩
Popis: International audience; This contribution deals with the study of the almost sure exponential stability of large scale stochastic systems with multiplicative noises. Under a Lipschitz-like assumption, it is proven that this stability is guaranteed if each ``diagonal'' subsystem is almost surely exponentially stable.
Databáze: OpenAIRE