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For parameter dependent nonlinear system, once the parameter reaches a critical point, the equivalent relationship of the system trajectory will be destroyed and further lead to structural instability of the whole system. This is the dynamic bifurcation phenomenon and is also the fundamental cause of instability oscillations and dynamic failures for most practical systems. In this research, Hopf bifurcation,...
This paper focuses on consensus of multi-agent systems with leader-following and unknown nonlinear dynamics under heterogenous topologies. First of all, we give a control algorithm for the condition that the system without leader under heterogeneous topologies. Sufficient conditions in terms of linear matrix inequality (LMI) are established to guarantee distributed consensus of multi-agent systems...
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