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

Krener教授建议开发分析方法来处理 常微分控制系统 方程 将涵盖三个主题。 第一个主题是 非线性观测和滤波。 在这里，克雷纳教授想 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。 一个新 提出了一种基于非线性系统规范形的方法。 第三个主题是非因果系统的随机实现。 它 在信号和图像处理中具有潜在的应用。

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.