Hybrid seminar at McGill University or Zoom.

Results related to the modular scattering-based design of complex dissipative networks are presented. By modular scattering-based design we understand the process of interconnecting dissipative networks through specially designed scattering transformations in such a way that the interconnection itself is a dissipative network with a well-defined supply rate and storage function. In addition, such an interconnection possesses an internal stability property, which boils down to the existence of an L2-gain from the external to the interconnection variables. Dissipative networks of this type are called proper; they can be further interconnected with other proper dissipative networks using similar methods. Iterative application of this technique potentially allows for the design of arbitrarily complex networks of dissipative systems. Design procedures for network interconnections with and without communication delays are discussed, and possible applications of this technique to systems and control problems are outlined.

Biography: Ilia G. Polushin received the Candidate of Sciences degree in Automatic Control from Saint-Petersburg Electrotechnical University, Russia, and the Ph.D. degree in Electrical Engineering from Carleton University, Canada. Since 2009, he is with the Department of Electrical and Computer Engineering, Western University, where he currently is an Associate Professor. His research interests are in the area of robotics and control.