Mathematical Sciences: Estimation and Identification of Nonlinear Systems and Acausal Systems Theory

数学科学：非线性系统的估计和识别以及非因果系统理论

• 批准号: 8601635
• 负责人: Arthur Krener
• 金额: $ 12.91万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1986
• 资助国家: 美国
• 起止时间: 1986-07-01 至 1990-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8601635&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Estimation; Identification; Nonlinear

Professor Krener proposes to develop analytical methods to deal with nonlinear control systems governed by systems of ordinary differential equations. Three topics will be covered. The first topic is the nonlinear observation and filtering. Here, Professor Krener wants to study geometric, asymptotic and stochastic aspects of these problems. The second topic is the identification of nonlinear systems. A new approach, based on the normal forms for nonlinear systems, is proposed. The third topic is the stochastic realization of acausal systems. It has potential applications to signal-and image processing.

克雷纳教授建议开发分析方法来处理由常微分方程组控制的非线性控制系统。 将涵盖三个主题。 第一个主题是非线性观察和滤波。 在这里，克雷纳教授想要研究这些问题的几何、渐近和随机方面。 第二个主题是非线性系统的辨识。 提出了一种基于非线性系统范式的新方法。 第三个主题是非因果系统的随机实现。 它在信号和图像处理方面具有潜在的应用。