Event Detail

Event Type: 
M.Sc.Defense
Date/Time: 
Wednesday, September 11, 2019 - 10:00 to 11:00
Location: 
Kidder 274
Abstract: 

This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the use of common linear Lyapunov functions to define sufficient conditions for the stability of a coupled system for a general linearized model. We will also present necessary and sufficient conditions for when these functions exist for a given system.