Multi-tracking of second order discrete-time multi-agent networks with aperiodic communication

Guang‐Song Han, Xianhe Zhang, Zhi‐Hong Guan, Zhao Zhang, Ruiquan Liao · 2014

A novel multi-tracking problem is introduced in multi-agent networks. The states of multiple agents in each subnetwork asymptotically converge to the same desired trajectory in the presence of information exchanges among subnetworks. A protocol with aperiodic sampled-data is proposed to achieve the multi-tracking of second order discrete-time multi-agent networks. The stability of dynamic systems is equivalent to the robust asymptotic stability of discrete-time systems with time-varying matrix uncertainties of polyhedral type. Necessary and sufficient conditions are established. Simulation results illustrate the effectiveness of the developed theory.

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