ABSTRACT
This chapter studies the consensus tracking of complex network systems with higher-order dynamics and directed switching topologies. This chapter begins by overviewing some previous works and by indicating our motivations. Section 6.2 firstly studies the case with Lipschitz nonlinear dynamics and directed fixed topology. Then we extend the results to directed switching topologies with each topology contains a directed spanning tree. This section finally studies the case with directed switching topologies that frequently contain a directed spanning tree. Section 6.3 studies the case with general linear dynamics and occasionally missing control inputs. This section presents some sufficient criteria for achieving consensus. Moreover, the convergence rate is discussed. Finally, some simulations are given to validate the theoretical results.
