A hybrid approach to the stability analysis of sampled-data Lur’e systems
Overview & Synopsis
This work deals with the stability analysis of Lur'e systems under sampled-data control, where the Lur'e nonlinearity is assumed to be both sector and slope restricted. The stability conditions are derived by using a hybrid system representation and a generalized Lur'e type timer-dependent Lyapunov function. Considering a polynomial timer-dependence, the stability conditions are cast in sum-of-squares optimization problems aiming at computing the largest range of sampling intervals or the largest sector bounds on the nonlinearity for which the origin of the closed-loop system is globally asymptotically stable.
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hal.science)
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Document Information
| Document Title | A hybrid approach to the stability analysis of sampled-data Lur’e systems |
|---|---|
| Author / Organization | Arthur Scolari Fagundes, João Manoel Gomes da Silva, Sophie Tarbouriech |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2024 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-120089 |
| Original Source Link | Visit Source Page on hal.science » |