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We can compute the syndrome more easily by using the division algorithm.

This can be seen most easily by using the variational principle.

The scaling indeterminacy can be resolved relatively easily by using the Minimal Distortion Principle [34]: (19).

This lemma can be proved easily by using the proof technique in Lemma 2.1.

But the following lemma can be proved easily by using the technique of the proof of Lemma 2.1.

Proof One can obtain this result easily by using the methods as in the proof of Theorem 3.3.

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Furthermore, all stabilization conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using the LMI Toolbox.

The derived criteria are expressed in terms of linear matrix inequalities that can be easily checked by using the standard numerical software.

It can be easily established by using the following result.

The proof of the following lemma can be easily done by using the partial metric topology.

This Lemma can be easily proven by using the properties of the positive (semi) definite matrices.

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