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We consider robust stability analysis of a class of spatially interconnected systems. The individual subsystems may be different but they are assumed to share some properties that can be characterized by an integral quadratic constraint. The main contribution of the paper is to show that, for the case where the network interconnection matrix is normal, (robust) stability verification can be simplified...
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...
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