dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Ezzine, Faten | es |
dc.creator | Hammami, Mohamed Ali | es |
dc.date.accessioned | 2022-09-30T06:34:44Z | |
dc.date.available | 2022-09-30T06:34:44Z | |
dc.date.issued | 2022-09 | |
dc.identifier.citation | Caraballo Garrido, T., Ezzine, F. y Hammami, M.A. (2022). A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov’s inequality. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116, 177-1-177-30. | |
dc.identifier.issn | 1578-7303 | es |
dc.identifier.issn | 1579-1505 | es |
dc.identifier.uri | https://hdl.handle.net/11441/137495 | |
dc.description.abstract | The Lyapunov approach is one of the most effective and efficient methods for the inves tigation of the stability of stochastic systems. Several authors analyzed the stability and
stabilization of stochastic differential equations via Lyapunov techniques. Nevertheless, few
results are concerned with the stability of stochastic systems based on the knowledge of the
solution of the system explicitly. The originality of our work is to investigate the problem of
stabilization of stochastic perturbed control–bilinear systems based on the explicit solution
of the system by using the integral inequalities of the Gronwall type in particular Gami dov’s inequality. Namely, under some restrictions on the perturbed term, and based on the
method of integral inequalities, we prove that the stochastic system can be stabilized by
constant feedback. Further, we study the problem of stabilization of stochastic perturbed
control affine systems based on the use of bilinear approximation. Different examples are
provided to verify the effectiveness of the proposed results. | es |
dc.format | application/pdf | es |
dc.format.extent | 30 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116, 177-1-177-30. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Affine systems | es |
dc.subject | Bilinear systems | es |
dc.subject | Stochastic systems | es |
dc.subject | Integral inequalities | es |
dc.subject | Gamidov inequalities | es |
dc.subject | Stabilization | es |
dc.subject | Practical stability | es |
dc.title | A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov’s inequality | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.1007/s13398-022-01320-7 | es |
dc.identifier.doi | 10.1007/s13398-022-01320-7 | es |
dc.journaltitle | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | es |
dc.publication.volumen | 116 | es |
dc.publication.initialPage | 177-1 | es |
dc.publication.endPage | 177-30 | es |