## Distributed robust $$H_\infty$$ consensus control in directed networks of agents with time-delay.(English)Zbl 1140.93355

Summary: This paper investigates consensus problems for directed networks of agents with external disturbances and model uncertainty on fixed and switching topologies. Both networks with and without time-delay are taken into consideration. In doing the analysis, we first perform a model transformation and turn the original system into a reduced-order system. Based on this reduced-order system, we then present conditions under which all agents reach consensus with the desired $$H_\infty$$ performance. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

### MSC:

 93B36 $$H^\infty$$-control 93A15 Large-scale systems 93C41 Control/observation systems with incomplete information 93B11 System structure simplification
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### References:

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