【报告摘要】 In this invited talk, we first introduce several criteria that are proposed for the distribution of roots of quasi-polynomials of neutral type with complex coefficients. Quasi-polynomials with complex coefficients play an important role in applications, such as consensus of multi-agent systems with a directed network topology. Compared with Pontryagin’s results, the derived criteria can be numerically implemented because the interval of the frequency for analyzing the behavior of the quasi-polynomial can be determined. Then we provide some Hurwitz stability criteria to judge whether all the roots of the quasi-polynomials are in the open left-half complex plane. These Hurwitz stability criteria can be employed to analyze the stability of linear time-invariant systems with commensurate delays. On the one hand, the criteria derived are general since quasi-polynomials of retarded type and quasi-polynomials with real coefficients are their special cases. On the other hand, the conditions in Hurwitz stability criteria are all necessary and sufficient. As a special case, we present several criteria for the distribution of roots of the quasi-polynomials with real coefficients. Finally, we apply the proposed criteria to consensus protocol design of multi-agent systems multi-agent systems using delayed state information.

【报告人摘要】Professor Han is Pro Vice-Chancellor (Research Quality) and a Distinguished Professor at Swinburne University of Technology, Melbourne, Australia. He held various academic and management positions at Griffith University and Central Queensland University, Australia.

Professor Han was awarded the 2024 IEEE Dr.-Ing. Eugene Mittelmann Achievement Award (the Highest Award in Industrial Electronics), the 2024 Chinese Association of Automation (CAA) Science and Technology Achievement Award (the CAA’s Highest Achievement Award in Automation, Information and Intelligent Science), the 2021 Norbert Wiener Award (the Highest Achievement Award in Systems Science and Engineering, and Cybernetics), and the 2021 M. A. Sargent Medal (the Highest Achievement Award of the Electrical College Board of Engineers Australia). He was the recipient of the Journal of Systems Science and Complexity Best Paper Award in 2023, the IEEE Systems, Man, and Cybernetics Society Andrew P. Sage Best Transactions Paper Award in 2019, 2020, and 2022, respectively, the IEEE/CAA Journal of Automatica Sinica Norbert Wiener Review Award in 2020, the IEEE Transactions on Industrial Informatics Outstanding Paper Award in 2020, and the IET Control Theory and Applications Premium (Best Paper) Award in 2020 and 2016, respectively.

Professor Han is a Member of the Academia Europaea (The Academy of Europe). He is a Fellow of the International Federation of Automatic Control (FIFAC), a Fellow of the Institute of Electrical and Electronic Engineers (FIEEE), a Fellow of the Asian Control Association (FACA) an Honorary Fellow of the Institution of Engineers Australia (HonFIEAust), and a Fellow of the Chinese Association of Automation (FCAA). He is a Highly Cited Researcher in both Engineering and Computer Science (Clarivate). He was one of Australia’s Top 5 Lifetime Achievers (Research Superstars) in the discipline area of Engineering and Computer Science Engineering and Computer Science (The Australian’s Research Magazine, 2019-2020). He has served as an AdCom Member of IEEE Industrial Electronics Society (IES), a Member of IEEE IES Fellows Committee, a Member of IEEE IES Publications Committee, Chair of IEEE IES Technical Committee on Network-Based Control Systems and Applications, and the Co-Editor-in-Chief of IEEE Transactions on Industrial Informatics. He is currently the President-Elect, an Executive Board Member, and a Steering Committee Member of Asian Control Association (ACA). He is currently the Editor-in-Chief of IEEE/CAA Journal of Automatica Sinica and the Co-Editor of Australian Journa.