“…Theorem 3: Give scalars γ 1 > 0, γ 2 > 0, 0 < α < 1, κ 1 , κ 2 , β, preselected matrix S, diagonal matrix Ω, and finite frequency ranges. Under event-triggered communication mechanism (3), the residual system (5) is asymptotically stable with the L ∞ performance (6) and the H_ performance (7) if there exist symmetric matrices P 1 > 0, P 2 , Q > 0, invertible matrix X, and general matrices…”