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Theory and Modern Applications

Table 1 Comparison of the feedback controller gain matrix

From: Novel delay-dependent exponential stabilization criteria of a nonlinear system with mixed time-varying delays via hybrid intermittent feedback control

Delay

Method

Controller gain matrix

\(\boldsymbol{K_{1}}\)

\(\boldsymbol{K_{2}}\)

\(\boldsymbol{K_{3}}\)

\(h_{1}=0\), \(h_{2}=0.9\)

Method of [10]

\( \begin{bmatrix} -1.9212 & 1.7480\\ -2.0908 & -49.3170 \end{bmatrix} \)

\( \begin{bmatrix} -0.0034 & 0.0023\\ 0.0055 & -0.00640 \end{bmatrix} \)

\( \begin{bmatrix} -0.0927 & 0.0493\\ 0.1343 & -1.4377 \end{bmatrix} \)

Proposed method

\( \begin{bmatrix} -0.0468 & 0.0016\\ -0.0020 & -0.0362 \end{bmatrix} \)

\( \begin{bmatrix} -0.0468 & 0.0016\\ -0.0020 & -0.0362 \end{bmatrix} \)

\( \begin{bmatrix} -0.0468 & 0.0016\\ -0.0020 & -0.0362 \end{bmatrix} \)

\(h_{1}=0.3\), \(h_{2}=1\)

Method of [10]

Infeasible

Infeasible

Infeasible

Proposed method

\( \begin{bmatrix} -0.0411 & -0.0004\\ 0.0003 & -0.0515 \end{bmatrix} \)

\( \begin{bmatrix} -0.0411 & -0.0004\\ 0.0003 & -0.0515 \end{bmatrix} \)

\( \begin{bmatrix} -0.0411 & -0.0004\\ 0.0003 & -0.0515 \end{bmatrix}\)