New stability criteria for stochastic perturbed singular systems in mean square
In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stabilit...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/130377 |
| Acceso en línea: | https://hdl.handle.net/11441/130377 https://doi.org/10.1007/s11071-021-06620-y |
| Access Level: | acceso abierto |
| Palabra clave: | Linear time-varying singular systems Standard canonical form Consistent initial conditions Lyapunov function Itô formula Brownian motion Nontrivial solution Practical exponential stability in mean square Stabilization |
| Sumario: | In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, we provide numerical examples to validate the effectiveness of the main results of this paper. |
|---|