Presidential Faculty Fellow

9350346 Dasgupta This PI打算继续他在稳健稳定领域的工作。鲁棒稳定性主要涉及控制器的设计，只要被控对象是线性的，且其参数在某一固定但较宽的区间内，就能保证控制器不会失稳。许多定理已经证明了参数集在某些类型的区间内的稳定性；PI将尝试开发技术来帮助评估已知的不确定区间，以帮助确定它们是否真正满足所需的标准。此外，他还打算研究Lyapunov稳定性理论是否可以应用于具有参数不确定性的系统以及特定类型的非线性反馈。PI还打算对用于信号处理的带符号自适应滤波器和Hopfield网络的特性进行理论分析。他打算探索稳健稳定性理论，作为信道均衡中学习或自适应方法的替代方案。他还计划将离散事件模型应用于细胞生长的建模。*v S的可信度主要涉及D$$(F/S S/1信使符号&&A；宋体《新S》(S)摘要艾丽西亚·E·哈里斯艾丽西亚·E·哈里斯

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