ABSTRACT
It is known that a practical system is unavoidably affected by various disturbances. This chapter studies the H ∞ consensus of complex network systems with directed switching topologies. Section 7.1 briefly reviews some previous results. Section 7.2 studies the general linear dynamical models. This section begins by presenting the definition of H ∞ consensus. Then the main theoretical result is given and the convergence rate is discussed. Section 7.3 studies the Lipschitz nonlinear dynamical models with aperiodic sampled data communications. This section firstly studies the case with directed fixed topology. Then we extend the results to the case with directed switching topologies and sampled-data communications. Section 7.4 presents some simulations to validate the theoretical results.
