Bibliographic Details
| Title: |
Stabilization and L₂– Gain Performance of Periodic Piecewise Impulsive Linear Systems |
| Authors: |
Yongzhuang Liu, Yang Song, Haibo Qu, Zhi Chen |
| Source: |
IEEE Access, Vol 8, Pp 200146-200156 (2020) |
| Publisher Information: |
IEEE, 2020. |
| Publication Year: |
2020 |
| Collection: |
LCC:Electrical engineering. Electronics. Nuclear engineering |
| Subject Terms: |
Periodic piecewise impulsive linear system, stability, stabilization, L₂–gain performance, time-varying Lyapunov function, Electrical engineering. Electronics. Nuclear engineering, TK1-9971 |
| More Details: |
This paper deals with the stability, stabilization and L2- gain problem of periodic piecewise impulsive linear system. Firstly, by developing a new Lyapunov function called multiple piecewise time-varying Lyapunov function, a sufficient condition that guarantee the system λ* - exponentially stable is established. Moreover, a state-feedback controller is designed to stabilize the system. Then L2- gain analysis is investigated to obtain a result that guarantee the system λ* - exponentially stable and with L2- gain performance. Finally, numerical simulation examples are provided to verify the effectiveness of the results proposed in this paper. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2169-3536 |
| Relation: |
https://ieeexplore.ieee.org/document/9245485/; https://doaj.org/toc/2169-3536 |
| DOI: |
10.1109/ACCESS.2020.3035024 |
| Access URL: |
https://doaj.org/article/839dc1f011194a8eb99ce8254c1319cd |
| Accession Number: |
edsdoj.839dc1f011194a8eb99ce8254c1319cd |
| Database: |
Directory of Open Access Journals |
