In this paper, we study the problem of cooperative control of heterogeneous linear time-invariant multiagent systems over networks with limited bandwidth. Our analysis include two different setups; namely, (i) one-channel network and (ii) multi-channel network. To this end, we utilize a time-delay approach to the networked control systems to derive some upper bounds for the performance parameters; specifically, the decay rate and the L2-gain of the closed-loop system. We then present methods predicated on linear matrix inequalities to estimate those parameters. Finally, we illustrate how the network imperfections affect the performance and stability of the closed-loop system through a numerical example.