Analysis and Design of Oscillator Networks

The design and analysis of oscillator networks raises a number of fundamental questions in systems and control. The existence, uniqueness, and location of periodic solutions of dynamical systems as well as the stability and robustness of these solutions are all challenging problems that must be addressed in design and analysis of such networks. In this paper, we investigate local stability and robustness properties of oscillator networks. The focus is on how the design of the network interconnection matrix affects both convergence and robustness of the network.