Stabilization and destabilization of nonlinear systems via intermittent stochastic noise with application to memristor-based system |
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| Authors: | Bo Zhang Feiqi Deng Shiguo Peng Shengli Xie |
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| Institution: | 1. Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou 510006, China;2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China;3. School of Automation, Guangdong University of Technology, Guangzhou 510006, China |
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| Abstract: | This paper considers the stabilization and destabilization of a given nonlinear system by an intermittent Brownian noise perturbation. We give some distinct conditions and conclusions on almost sure exponential stability and instability, which are related to the control period T and the noise width δ. These results are then exploited to examine stabilization and destabilization via intermittent stochastic perturbation and applied to the stabilization of a memristor-based chaotic system. Two numerical examples are presented to illustrate the theoretical results. |
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| Keywords: | Corresponding author |
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