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

本项目将开发互补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共同引起的现象。这些研究将针对实时动态子结构和加工实验的具体应用进行定制。我们还将研究包含延迟和随机参数的非线性系统参数辨识的两种替代方法。总之，这项研究将提供新的工具，可能会对工程、物理、生物和信号处理领域的广泛应用产生潜在的影响。上述研究目标考虑及时和相关的研究，以推进两个重要应用领域的前沿。教育方面的努力将包括在小学/高中教学方面的外展活动。高中生通过演示了解振动。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性工程师协会合作，以确定具有一致兴趣的代表性不足的学生。

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.