Spatial sampled-data control for stochastic reaction-diffusion systems
| Autor: | Kai-Ning Wu, Zhen Wang, Yun-Zhu Wang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer Networks and Communications Applied Mathematics Boundary (topology) 02 engineering and technology Interval (mathematics) Stability (probability) Term (time) 020901 industrial engineering & automation Control and Systems Engineering Control theory Hybrid system Signal Processing Reaction–diffusion system 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Diffusion (business) Mathematics |
| Zdroj: | Journal of the Franklin Institute. 357:12538-12554 |
| ISSN: | 0016-0032 |
| DOI: | 10.1016/j.jfranklin.2020.10.001 |
| Popis: | This paper considers the control problems for stochastic reaction-diffusion systems (SRDSs) with a spatial sampled-data (SSD) controller. The SSD controller engenders spatial discrete term such that the SRDS with SSD controller is a hybrid system. The coexistence of stochastic disturbance, spatial diffusion and discrete term brings out new challenges for the analysis of system properties. Utilizing the Lyapunov functional and inequality techniques, we establish several criteria on mean square exponential stabilization and robust mean square finite-time stabilization of SRDSs. Moreover, we consider the H∞ control problem when there exist external disturbances. Both system disturbances and boundary disturbances are included in our model. Sufficient conditions are obtained to ensure the mean square H∞ performance. The effects of the length of sampled-data interval and the diffusion term on the stability are reflected in all obtained criteria. Numerical simulations verify our theoretical results. |
| Databáze: | OpenAIRE |
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