- People
- Classes
- Undergraduate
- Graduate
- Learning Center
- Research
- News & Events
- Giving to Math

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.