Collaborative Proposal: Stability, Identification, and Stochastic Resonnance in Stochastic Delay Systems

合作提案：随机延迟系统中的稳定性、辨识和随机共振

• 批准号: 0900266
• 负责人: Brian Mann
• 金额: $ 24.89万
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0900266&HistoricalAwards=false
• 关键词: Collaborative; Proposal; Stability; Identification; Stochastic

This project will develop complementary techniques to analyze the stability behavior of stochastic delay systems. In addition, we will examine phenomena caused by the combination of noise and time delays. These investigations will be tailored towards the specific applications of real time dynamic substructuring and machining experiments. We will also investigate two alternatives for parameter identification in nonlinear systems that contain delays and stochastic parameters. In summary, the proposed research will provide new tools that could potentially impact a broad scope of applications in engineering, physics, biology, and signal processing. The above research objectives consider timely and relevant studies to advance the frontiers in two important application areas. Educational efforts will include outreach activities in teaching Jr./Sr. high school students about vibrations through demonstrations. Graduate student experiences will include cross-training at both universities, industry interactions, and research interactions with international collaborators. The PIs will work with the Society of Hispanic Engineers, Alliance for Minority Participation, and the Society of Women Engineers to identify under-represented students with compatible interest.

本计画将发展辅助技术来分析随机延迟系统的稳定性行为。 此外，我们将研究由噪声和时间延迟的组合引起的现象。 这些调查将针对具体应用的真实的时间动态子结构和加工实验。 我们还将研究两种替代方案的参数识别非线性系统，包含延迟和随机参数。 总之，拟议的研究将提供新的工具，可能会影响工程，物理，生物和信号处理的广泛应用。 上述研究目标考虑了及时和相关的研究，以推进两个重要应用领域的前沿。教育工作将包括在教学中开展外联活动。高中生通过示范了解振动。 研究生的经历将包括在两所大学的交叉培训，行业互动，以及与国际合作者的研究互动。 PI将与西班牙裔工程师协会，少数民族参与联盟和女工程师协会合作，以确定具有兼容兴趣的代表性不足的学生。