In this work, single-integrator multi-agent directed networks with energy bounded disturbances and Guassian white noises are considered in term of H 2 and H ∞ performance. Meanwhile actuator uncertainty is also the concern of H ∞ performance. Distributed control law of undetermined parameters is proposed. By using H 2 /H ∞ theory and linear algebra, the problem is transformed into a non-convex optimization problem on diagonal matrices. Numerical iterative algorithms with consideration on both feasibility and conservatism are presented.
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