Abstract
This paper is concerned with the almost sure stabilization of hybrid systems by introducing intermittent stochastic noise with jumps. By means of the Lyapunov function method and the ergodic property of Markov chain, sufficient conditions are given for stability of hybrid stochastic systems with intermittent stochastic noise. With the aid of the comparison method and M-matrix theory, it is shown that hybrid systems can be stabilized by discrete-time intermittent stochastic feedback control provided the duration between two consecutive observations is sufficient small. Finally, two examples are presented to illustrate our results.
| Original language | English |
|---|---|
| Article number | 112373 |
| Journal | Automatica |
| Volume | 178 |
| Early online date | 16 May 2025 |
| DOIs | |
| Publication status | E-pub ahead of print - 16 May 2025 |
Funding
We would like to thanks the editior and reviewers for their helpful comments and suggestions. Wei Mao would like to thank the Qing Lan Project of Jiangsu Province. Fuke Wu would like to thank the National Natural Science Foundation of China (Grant No. 62273158). Xuerong Mao would like to thank the Royal Society, United Kingdom (WM160014, Royal Society Wolfson Research Merit Award), the Royal Society of Edinburgh, United Kingdom (RSE1832) for their financial support.
Keywords
- hybrid stochastic systems
- Poisson random measure
- almost sure stochastic stabilization
- intermittent stochastic feedback control
- discrete-time state observation