On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapuno...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2021 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/130369 |
| Online Access: | https://hdl.handle.net/11441/130369 https://doi.org/10.1007/s00245-020-09734-8 |
| Access Level: | Open access |
| Keyword: | Stochastic perturbed singular systems Consistent initial conditions Lyapunov techniques Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization |
| _version_ | 1878735735874387968 |
|---|---|
| author | Caraballo Garrido, Tomás |
| author2 | Ezzine, Faten Hammami, Mohamed Ali |
| author2_role | author author |
| author_browse | Caraballo Garrido, Tomás Ezzine, Faten Hammami, Mohamed Ali |
| author_facet | Caraballo Garrido, Tomás Ezzine, Faten Hammami, Mohamed Ali |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| description | The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. The uniform exponential stability in mean square and the practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems based on Lyapunov techniques are investigated. Moreover, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, an illustrative example is given to illustrate the effectiveness of the proposed results. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_828cdc71e7dec562d8fbcd9845fda87a |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:idus.us.es:11441/130369 |
| publishDate | 2021 |
| publishDateSort | 2021 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square Caraballo Garrido, Tomás Ezzine, Faten Hammami, Mohamed Ali Stochastic perturbed singular systems Consistent initial conditions Lyapunov techniques Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. The uniform exponential stability in mean square and the practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems based on Lyapunov techniques are investigated. Moreover, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, an illustrative example is given to illustrate the effectiveness of the proposed results. Springer https://hdl.handle.net/11441/130369 https://doi.org/10.1007/s00245-020-09734-8 |
| spellingShingle | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square Caraballo Garrido, Tomás Stochastic perturbed singular systems Consistent initial conditions Lyapunov techniques Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization |
| status_str | publishedVersion |
| title | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| title_full | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| title_fullStr | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| title_full_unstemmed | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| title_short | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| title_sort | On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square |
| topic | Stochastic perturbed singular systems Consistent initial conditions Lyapunov techniques Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization |
| topic_facet | Stochastic perturbed singular systems Consistent initial conditions Lyapunov techniques Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization |
| url | https://hdl.handle.net/11441/130369 https://doi.org/10.1007/s00245-020-09734-8 |