Abstract
This chapter considers synchronization of networked linear systems over networks with nonuniform time-varying delays. Since delays are inevitable in real systems and may change the stability of the original system, it is necessary and beneficial to study synchronization in the presence of delays. We focus on the case where the internal dynamics are time-varying but non-expansive (stable dynamics with a quadratic Lyapunov function). The case of directed graph is considered and we show that global asymptotic P-norm synchronization can be achieved over a directed graph with joint connectivity and arbitrarily bounded delays. Simulation results are provided to validate the theoretical results.
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