Journal
SCIENCE CHINA-INFORMATION SCIENCES
Volume 62, Issue 7, Pages -Publisher
SCIENCE PRESS
DOI: 10.1007/s11432-018-9600-3
Keywords
Brownian motion; stochastic stabilization; intermittent control; discrete time feedback; timedelay feedback
Funding
- National Natural Science Foundation of China [61304070, 61773152]
- Chinese Postdoctoral Science Foundation [2016M601698, 2017T100318]
- Jiangsu Province Postdoctoral Science Foundation [1701078B]
- Qing Lan Project of Jiangsu Province, China
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In this paper, we present stochastic intermittent stabilization based on the feedback of the discrete time or the delay time. By using the stochastic comparison principle, the Ito formula, and the Borel- Cantelli lemma, we obtain two sufficient criteria for stochastic intermittent stabilization. The established criteria show that an unstable system can be stabilized by means of a stochastic intermittent noise via a discrete time feedback if the duration time is bounded by *. Similarly, stabilization via delay time feedback is equally possible if the lag time is bounded by **. The upper bound * and ** can be computed numerically by solving corresponding equation.
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