In Ref. 1, one condition which we have assumed in Lemma 3 is missed. Lemma 3 is correct with the additional condition. In the process to prove Theorem 1, there is an obvious typo.

In nonlinear science, chaos control and synchronization has become an active research subject due to its applications to secure communications, chemical reactor, control theory, biological networks, and artificial neural networks. Reference 1 presents the results on synchronization using intermittent linear state feedback. In Ref. 1, the main result (Theorem 1) is correct, but in this paper there are several typos.

Content: Theorem 1 in Ref. 1 is correct. However, there are several typos. In Lemma 3 of Ref. 1, we omit a natural condition; λ1,λ2 are positive. Lemma 3 is correct after this assumed condition is added. Of course, this condition does not affect the application of Lemma 3 to Theorem 1 of Ref. 1. The following is formula (10) from the original Ref. 1.

“It is clear that

V(ω)τ=maxωτtωV(t)maxωτtωV(0)τer(δτ)e(ν1+υ2)(ωδ)

and

V(ω)τV(0)τe(μ1μ2)(δτ)+(ν1+υ2)(ωδ)=V(0)τeρ.
(10)

” It is clear that there is a typo in Eq. (10). It should be

V(ω)τV(0)τeρ(δτ)+(ν1+υ2)(ωδ)=V(0)τeρ.

Notice, ρ is defined as ρ=r(δτ)(ν1+ν2)(ωδ) in condition (e) of Theorem 1 in Ref. 1. In Example 2, the value of δ we actually used is δ=ω×0.96=8×0.96=7.68.

We are grateful to the author of Ref. 2 to catch our typos in our paper.

1.
T.
Huang
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C.
Li
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X.
Liu
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Chaos
18
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033122
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2008
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2.
Y.
Zhang
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Chaos
18
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048101
(
2008
).