ABSTRACT
This chapter studies the consensus tracking of complex network systems with first-order nonlinear dynamics and directed switching topologies. This chapter begins by overviewing some previous works and indication our motivations. Section 5.2 studies the case with Lipschitz type nonlinear dynamics without assuming that each possible network topology has a directed spanning tree. Specifically, this Section proposes an algorithm for selecting the pinned nodes such that the graph contains a directed spanning tree. Section 5.3 studies the case with Lorenz type nonlinear dynamics under directed fixed topology as well as directed switching topologies, where the Lorenz systems include the Chen and Lv systems. Finally, some simulations are given to validate the obtained theoretical results.
