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This paper investigates group consensus for linear multi-agent systems with nonidentical dynamics. A novel adaptive event-triggered communication scheme is presented by using the stochastic sampling information, the event-triggered matrices and time-varying event-triggered parameters are introduced into event-triggered condition, where event-triggered parameters can be adjusted with the system dynamics evolving. The group consensus protocol is designed based on the neighboring agents information at event-triggered instants, then a new stochastic sampled-data dependent error model is constructed, some group consensus criteria in mean-square can be derived and the feedback matrices can also be obtained. Finally, two numerical examples are provided to illustrate the validity of the theoretical results.
We review the momentum-jump approximation in the quantum-classical Liouville formulation of nonadiabatic dynamics. We consider different momentum shift rules and study their numerical importance in computer simulations of the spin-boson model. Our findings might help the design of generalized sampling schemes of nonadiabatic dynamics at long time.