Stabilization of cycles with stochastic prediction-based and target-oriented control
| Autor: | Braverman, Elena, Kelly, Conall, Rodkina, Alexandra |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Chaos, V. 30 (2020), 15 pp |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/1.5145304 |
| Popis: | We stabilize a prescribed cycle or an equilibrium of the difference equation using pulsed stochastic control. Our technique, inspired by the Kolmogorov's Law of Large Numbers, activates a stabilizing effect of stochastic perturbation and allows for stabilization using a much wider range for the control parameter than would be possible in the absence of noise. Our main general result applies to both Prediction-Based and Target-Oriented Controls. This analysis is the first to make use of the stabilizing effects of noise for Prediction-Based Control; the stochastic version has been examined in the literature, but only the destabilizing effect of noise was demonstrated. A stochastic variant of Target-Oriented Control has never been considered, to the best of our knowledge, and we propose a specific form that uses a point equilibrium or one point on a cycle as a target. We demonstrate our results numerically on the logistic, Ricker and Maynard Smith models from population biology. Comment: 14 pages, 7 figures |
| Databáze: | arXiv |
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