On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model

We solve a nonlinear game problem of uniaxial reorientation for an asymmetric solid body with three flywheels (rotors). We give an estimate for admissible levels of uncontrollable noise depending on given constraints on controlling moments. © Pleiades Publishing, Ltd., 2012

Time complexity of different intelligent optimization algorithms (s).

<p>Time complexity of different intelligent optimization algorithms (s).</p

Average time complexity of 10 experiments (s).

<p>Average time complexity of 10 experiments (s).</p

Detection results of original sonar image with other intelligent optimization algorithms (image size: 259×368).

<p>(a) detection result of QSFLA, (b) detection result of SFLA, (c) detection result of QPSO, (d) detection result of PSO, (e) detection result of QGA, and (f) detection result of GA.</p

Denoising results of original sonar image using the mean value or the median value (image size: 153×158).

<p>(a) original sonar image, (b) and (d) are the denoising result and filtering degree parameter respectively when <i>h</i> is the mean value (<i>r =</i> 5, <i>s =</i> 2), (c) and (e) are the denoising result and filtering degree parameter respectively when <i>h</i> is the median value (<i>r =</i> 5, <i>s =</i> 2).</p

The schematic diagram of the Ackley function.

<p>The schematic diagram of the Ackley function.</p

Denoising results of original sonar image (image size: 112×117).

<p>(a) original sonar image, (b) denoising result when <i>h</i> is the mean value (<i>r =</i> 5, <i>s =</i> 2), (c) denoising result when <i>h</i> is the median value (<i>r =</i> 5, <i>s =</i> 2), (d) denoising result of the proposed denoising method in this paper.</p

Detection results of original sonar image (image size: 153×158).

<p>(a) detection result of QSFLA-NSM on the image shown in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g004" target="_blank">Fig 4(a)</a>, and (b) detection result of QSFLA-NSM on the image shown in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g002" target="_blank">Fig 2(a)</a>.</p

Variation of best fitness function value in Figs 10(a) and 12.

<p>Variation of best fitness function value in Figs <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g010" target="_blank">10(a)</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g012" target="_blank">12</a>.</p

Detection results of original sonar image (image size: 259×368).

<p>(a) detection result of QSFLA-NSM on the image shown in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g006" target="_blank">Fig 6(d)</a>, (b) detection result of QSFLA-NSM on the image shown in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0177666#pone.0177666.g006" target="_blank">Fig 6(a)</a>.</p