报告人:丘立(香港科技大学)
时间:2019年3月21日(周四)10:00—11:00
地点:南楼N109
摘要:
A complex number has a magnitude and a phase, like twin brothers. What are the magnitudes and phases of a complex matrix? It is well-accepted that the singular values well serve the purpose of the magnitudes, but a good notion of phases is not settled. Very recently, we achieved a breakthrough in defining a set of phases for a complex square matrix and developing their key properties. Following this breakthrough, we have been keeping asking the following questions:
1. What is the phase response of a MIMO LTI system?
2. What are the phases of a linear operator (system)?
3. What are the phases of a nonlinear operator (system)?
4. Why are these questions important?
We will present some recent accomplishments and future speculations. The historical perspective goes back to Fourier, Hilbert, Bode, Kalman, Zames, etc.
The new brand names are the small phase theorem (cf. the small gain theorem), the sectored real lemma (cf. the bounded real lemma), Phi_infinity optimization, etc.
报告人简介:
丘立教授分别于1987年和1990年在多伦多大学电气工程系获得硕士和博士学位。其后短期工作于加拿大太空署,滑铁卢大学,菲尔兹数学科学研究所,明尼苏达大学数学及其应用研究所。1993年开始在香港科技大学工作,现为电子及计算机工程系教授。丘教授曾担任国际著名期刊IEEE Transactions on Automatic Control和Automatica的编委,第七届亚洲控制会议大会主席,IEEE控制系统协会杰出讲座团成员,IEEE控制系统协会理事会成员。丘教授于2006年当选为IEEE Fellow,于2010年当选为IFAC Fellow,于2014年入选“千人计划”,现担任亚洲控制学会副主席,香港自动控制学会首任主席,同时也是中国自动化学会信息物理系统决策与控制专业委员会的发起人之一,并在香港科技大学深圳研究院网络物理系统实验室任实验室主任。
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