December 21, 2015 15:00 - 16:30
BSI Central Building 3F Seminar Room
The ability to create and control dynamic structures, such as synchrony, in ensembles of oscillatory systems is important for understanding and influencing brain functions, sleep and metabolic cycles, and many other phenomena. Finely manipulating individual dynamical units in ensembles with high spatial and temporal precision remains a fundamental and substantial challenge in various scientific and clinical applications. For example, in neurostimulation, thousands of neurons in the brain are affected by a single electrode to alleviate the symptoms of neurological disorders such as Parkinson's disease and epilepsy. Model and parameter uncertainty and the impracticality of obtaining state feedback for each individual system in an ensemble add drastic complexity to control analysis and design. Such conditions along with the underactuated nature of these ensemble systems elude tractable formulation and compel an approach beyond classical control theory. In this talk, theoretical and computational challenges for engineering dynamic structures in oscillator ensembles will be addressed through various compelling applications arising from the biological and neuroscience domains. Recent results on controllability and the design of optimal synchronization and entrainment controls for networks of weakly forced nonlinear oscillators will be presented. Experimental realizations of optimal waveforms for fast entrainment and for selective phase assignment will be illustrated to demonstrate the robustness of the developed ensemble control techniques.
Dr. Jr-Shin Li is currently Das Family Distinguished Career Development Associate Professor of Systems Science and Mathematics in the Department of Electrical and Systems Engineering at Washington University in St. Louis. He holds a joint appointment in the Division of Biology \& Biomedical Sciences at Washington University. Dr. Li received his B.S. and M.S. degrees from National Taiwan University, and his PhD degree in Applied Mathematics from Harvard University in 2006. His research interests lie in the areas of control and systems theory, optimization, and computational mathematics with broad applications to biology, neuroscience, and quantum physics. He is a recipient of the NSF Career Award in 2008 and the AFOSR Young Investigator Award in 2010. He is Associate Editor of the SIAM Journal on Control and Optimization.
- Open to Public
- Shun-ichi Amari [Shun-ichi Amari, Mathematical Neuroscience ]
Name: Emi Namioka