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| Content Provider | IET Digital Library |
|---|---|
| Author | Zhang, Chuan Ke Jiang, Lin He, Yong Wu, Henry Wu, Min |
| Abstract | This study analyses the stability of aperiodically sampled-data control systems with and without communication delays by using a new augmented Lyapunov functional method. Compared with most of existing methods that commonly require each term of a Lyapunov–Krasovskii functional (LKF) to be non-negative, the proposed method waives this requirement by introducing an augmented term, which has zero value and zero derivative, into the LKF. Several stability criteria with less conservatism are obtained from the relaxation of constraint conditions for guaranteeing the non-negativeness of the LKF. These criteria are extended to investigate the stability of the systems with polytopic uncertainties and the exponential stability of the system. Three numerical examples are given to show the effectiveness of the proposed method. |
| Starting Page | 1219 |
| Ending Page | 1226 |
| Page Count | 8 |
| ISSN | 17518644 |
| Volume Number | 7 |
| e-ISSN | 17518652 |
| Issue Number | Issue 9, Jun (2013) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/7/9 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2012.0814 |
| Journal | IET Control Theory & Applications |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Aperiodically Sampled-data Control System Asymptotic Stability Augmented Lyapunov Functional Method Communication Delay Constraint Condition Delay Discrete Control System Distributed Parameter Control System Exponential Stability LKF Nonnegativeness Lyapunov Method Lyapunov-Krasovskii Functional Numerical Method Polytopic Uncertainties Relaxation Relaxation Theory Sampled Data System Stability in Control Theory Zero Derivative Zero Value |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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