Presidential Faculty Fellow

9350346 Dasgupta这位PI打算继续他在鲁棒稳定性领域的工作。鲁棒稳定性主要关注的是控制器的设计，只要被控对象是线性的，并且其参数已知在某个固定的宽区间内，控制器就不会变得不稳定。许多定理已经证明了在一定区间内参数集的稳定性；PI将尝试开发技术来帮助评估已知的不确定性区间，以帮助确定它们是否实际上符合所需的标准。此外，他打算研究Lyapunov稳定性理论是否可以应用于具有参数不确定性的特定类型的非线性反馈系统。PI还打算对信号处理的签名自适应滤波器和Hopfield网络的性质进行理论分析。他打算探索鲁棒稳定性理论作为学习或自适应方法在信道均衡中的替代方案。他还计划将离散事件模型应用于细胞生长的建模。* * * v s t tability主要关注d​$ $ (F / S S / 1 express Symbol & & & Arial 5 Courier New S " h (S R:\WW20USER\ABSTRACT。DOT摘要Alicia E. Harris

9350346 Dasgupta This PI intends to continue his work in the area of robust stability. Robust stability mainly concerns the design of controllers which are guaranteed not to go unstable, so long as the plant to be controlled is linear and its parameter are known to lie within some fixed but wide interval. Many theorems have already been proven demonstrating stability for parameter sets within certain kinds of interval; the PI will attempt to develop techniques to help evaluate known intervals of uncertainty, to help determine whether they actually meet the required criteria. In addition, he intends to investigate whether Lyapunov stability theory can be applied to systems with parametric uncertainty particular types of nonlinear feedback. The PI also intends to perform theoretical analysis of signed adaptive filters for signal processing, and of the properties of Hopfield networks. He intends to explore robust stability theory as an alternative to learning or adaptive methods in channel equalization. He also plans to apply discrete event models to the modeling of cell growth. *** v s t tability mainly concerns the d $ $ ( F / S S / 1 Courier Symbol & Arial 5 Courier New S " h e e ( S R:\WW20USER\ABSTRACT.DOT Abstract Alicia E. Harris Alicia E. Harris