Dr. Yuan Wang
Education
- Ph.D. in Mathematics, Rutgers University, New Bruswick, New Jersey, 1990
Research Interests
Mathematical Theory of Systems and Control
-
Stability analysis
-
Nonlinear control systems
-
Delayed system
-
Feedback stabilization
Research Description
I enjoy working in mathematical theory of systems and control. Control theory concerns itself with changing the behavior of dynamical systems to meet performance objectives. In practice, control processes take place in computers and other hardware equipment. However, the rules that govern the control process are mathematical. Mathematics has historically played and will increasingly continue to play critical roles in the development of systems and control theory.
There are in general two primary components in control system designs: the first one is to design for a given system a control law to guide the system to a desired performance; and the second one is to analyze the performance of the system under the control law. My work focuses mainly in the second component. To be more specific, most of my work deals with stability analysis of nonlinear systems and systems affected by delays. This is an exciting area where engineering problems often lead to interesting mathematical problems.
Recent Publications
- "Integral input-to-state stability of systems with small delays", Control Theory and Technology, Vol. 22, pp. 455-467 (2024), with R. H.H. Nawarathna and Y. Lin. https://doi.org/10.1007/s11768-023-00184-5
- "The ISS framework for time-delay systems: a survey", Mathematics of Control, Signals, and Systems Vol. 35, pp. 237-306 (2023), with A. Chaillet, I. Karafyllis, and P. Pepe. https://doi.org/10.1007/s00498-023-00341-w
- "Growth conditions for global exponential stability and exp-ISS of time-delay systems under point-wise dissipation", Systems & Control Letters, Vol. 178, 105570 (2023), with A Chaillet, I Karafyllis, and P Pepe.
https://doi.org/10.1016/j.sysconle.2023.105570
- "Remarks on different notions on output stability for nonlinear delay systems", Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms Vol. 30, pp. 225-270 (2023), with H.G. Kankanamalage and Y. Lin. online.watsci.org/abstract_pdf/2023v30/v30n4b-pdf/1.pdf
- "Is Global Asymptotic Stability Necessarily Uniform for Time-Invariant Time-Delay Systems?", SIAM Journal on Control and Optimization Vol. 60, pp. 3237-3261 (2022), with A Chaillet, I Karafyllis, and P Pepe. https://doi.org/10.1137/22M1485887
For a full list of all publications, vist Google Scholar Citation at https://scholar.google.com/citations?user=SdG1gusAAAAJ&hl=en
Scholarly Activities
- Associate Editor: IEEE Conference Editorial Board; European Series of Applied and Industrial Mathematics: Control, Optimization and the Calculus of Variations.
- Moderator of math.OC and cs.SY for arXiv.org.
