In this paper, using event-triggered control method, we investigate the consensus problem of a distributed single-integrator network with time-varying communication and event-detecting delays. We propose a consensus protocol as well as event-triggering conditions only based on local information. The event-triggering condition for each agent is detected periodically to determine whether its state used in the local feedbacks of the network will be updated or not. A sufficient condition for reaching state consensus is given and the convergence analysis is conducted by Lyapunov methods. The presented result reveals the effect of the change rate of time delays on consensus. Moreover, an experimental example of a multiagent networked system consisting of two-wheeled mobile robots is conducted to demonstrate the feasibility and effectiveness of our proposed consensus protocol.

In this paper, we investigate an in-host model for the viral dynamics of HIV-1 infection and its interaction with the CTL immune response. The model is sufficiently general to allow nonlinear forms for both viral infection and CTL response. Threshold parameters are identified that completely determine the global dynamics and outcomes of the virus-target cell-CTL interactions. Impacts of key parameter values for CTL functions and viral budding rate on the HIV-1 viral load and CD4 count are investigated using numerical simulations. Results support clinical evidence for important differences between HIV-1 nonprogressors and progressors.