Multidimensional systems, that is, systems with more than one independent variables, are emerging as one of the key research areas in systems and control theory. These systems come into play whenever the signals are described over space or space-time. For example, heating of a rod, digital image/video processing, processing of signals in spatially distributed array of antennas, etc. However, when it comes to analyzing such systems, there are still quite a few fundamental issues that are not yet fully resolved. One of them is the issue of representation of multidimensional systems by state space equations. In this talk we shall address this issue and explore some interesting consequences of our analysis. These include novel solutions to two important issues: stability and Markovian property of multidimensional systems.
Dr. Pal did his B.E. in Electrical Engineering from Jadavpur University in 2005. Then he did M.Tech. in Electrical Engineering from IIT Bombay in 2007. After that he continued in IIT Bombay to pursue a Ph.D. He finished his Ph.D. in 2012. Since July, 2012 he has been working as an Assistant Professor in the Department of Electronics and Electrical Engineering, IIT Guwahati. His main area of research is systems and control theory; more specifically: multidimensional systems and signal processing, dissipative systems theory, optimal control and consensus in multi-agent systems.