Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong

Abstract: Is there a small phase theorem in parallel to the small gain theorem? This is of no problem for SISO LTI systems since the phase response of such a system is well defined.

For MIMO LTI systems, this question becomes nontrivial since a good definition of matrix phase had not been available until recently. In this talk, we start with two definitions of matrix phase and present two corresponding versions of the small phase theorem.

Our current study shows that we can even extend the concept of phase and the small phase theorem to nonlinear systems and much beyond.

Professor Li Qiu

Department of Electronic and Computer Engineering

Hong Kong University of Science and Technology

Prof. Li Qiu received his Ph.D. degree in electrical engineering from the University of Toronto in 1990. After briefly working in the Canadian Space Agency, the Fields Institute for Research in Mathematical Sciences (Waterloo), and the Institute of Mathematics and its Applications (Minneapolis), he joined Hong Kong University of Science and Technology in 1993, where he is now a Professor of Electronic and Computer Engineering.

Prof. Qiu’s research interests include system, control, optimization theory, and mathematics for information technology, as well as their applications in manufacturing industry and energy systems. He is also interested in control education and coauthored an undergraduate textbook “Introduction to Feedback Control” which was published by Prentice-Hall in 2009. He served as an associate editor of the IEEE Transactions on Automatic Control and an associate editor of Automatica. He was the general chair of the 7th Asian Control Conference, which was held in Hong Kong in 2009. He was a Distinguished Lecturer from 2007 to 2010 and was a member of the Board of Governors in 2012 and 2017 of the IEEE Control Systems Society. He is the founding chairperson of the Hong Kong Automatic Control Association and a vice president of Asian Control Association. He is a Fellow of IEEE and a Fellow of IFAC.

Biography:

Professor Li Qiu

Department of Electronic and Computer Engineering

Hong Kong University of Science and Technology

Prof. Li Qiu received his Ph.D. degree in electrical engineering from the University of Toronto in 1990. After briefly working in the Canadian Space Agency, the Fields Institute for Research in Mathematical Sciences (Waterloo), and the Institute of Mathematics and its Applications (Minneapolis), he joined Hong Kong University of Science and Technology in 1993, where he is now a Professor of Electronic and Computer Engineering.

Prof. Qiu’s research interests include system, control, optimization theory, and mathematics for information technology, as well as their applications in manufacturing industry and energy systems. He is also interested in control education and coauthored an undergraduate textbook “Introduction to Feedback Control” which was published by Prentice-Hall in 2009. He served as an associate editor of the IEEE Transactions on Automatic Control and an associate editor of Automatica. He was the general chair of the 7th Asian Control Conference, which was held in Hong Kong in 2009. He was a Distinguished Lecturer from 2007 to 2010 and was a member of the Board of Governors in 2012 and 2017 of the IEEE Control Systems Society. He is the founding chairperson of the Hong Kong Automatic Control Association and a vice president of Asian Control Association. He is a Fellow of IEEE and a Fellow of IFAC.

Email:

Address:Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong, Hong Kong