This paper focuses on the reachable set estimation for Markovian jump neural networks with time delay.By allowing uncertainty in the transition probabilities,a framework unifies and enhances the generality and realism...This paper focuses on the reachable set estimation for Markovian jump neural networks with time delay.By allowing uncertainty in the transition probabilities,a framework unifies and enhances the generality and realism of these systems.To fully exploit the unified uncertain transition probabilities,an equivalent transformation technique is introduced as an alternative to traditional estimation methods,effectively utilizing the information of transition probabilities.Furthermore,a vector Wirtinger-based summation inequality is proposed,which captures more system information compared to existing ones.Building upon these components,a novel condition that guarantees a reachable set estimation is presented for Markovian jump neural networks with unified uncertain transition probabilities.A numerical example is illustrated to demonstrate the superiority of the approaches.展开更多
Background:To compare the arithmetic mean(M-SIA)and the summated vector mean of surgically induced astigmatism(SVM-SIA)according to the incision site after phakic intraocular lens(Visian implantable collamer lens(ICL)...Background:To compare the arithmetic mean(M-SIA)and the summated vector mean of surgically induced astigmatism(SVM-SIA)according to the incision site after phakic intraocular lens(Visian implantable collamer lens(ICL),STAAR Surgical)implantation.Methods:This study comprised 121 eyes of 121 consecutive patients undergoing ICL surgery through a 3.0-mm temporal or superior clear corneal incision.The magnitude and the axis of corneal astigmatism preoperatively and 3 months postoperatively were measured using an automated keratometer.The M-SIA and the SVM-SIA were determined according to the incision site.Results:The magnitude of corneal astigmatism significantly increased from 1.23±0.59 D preoperatively to 1.46±0.72 D postoperatively in the temporal incision group(Wilcoxon signed-rank test,P<0.001),but it significantly decreased from 1.09±0.36 D preoperatively to 0.86±0.41 D postoperatively in the superior incision group(P<0.001).The M-SIA was 0.48±0.30 D,and the SVM-SIA was 0.23±0.52 D at a meridian of 82°in the temporal incision group.The M-SIA was 0.57±0.30 D,and the SVM-SIA was 0.47±0.45 D at a meridian of 1°in the superior incision group.Conclusions:ICL implantation induces the M-SIA by approximately 0.5 D,but the SVM-SIA decreased to 50%and 80%of the M-SIA in magnitude through temporal and superior incisions,respectively.The direction of the SVM-SIA showed a tendency toward corneal flattening to the incisional site.It should be noted that the M-SIA is somewhat different from the SVM-SIA according to the incision site.展开更多
BackgroundTo compare the arithmetic mean (M-SIA) and the summated vector mean of surgically induced astigmatism (SVM-SIA) according to the incision site after phakic intraocular lens (Visian implantable collamer lens ...BackgroundTo compare the arithmetic mean (M-SIA) and the summated vector mean of surgically induced astigmatism (SVM-SIA) according to the incision site after phakic intraocular lens (Visian implantable collamer lens (ICL), STAAR Surgical) implantation.MethodsThis study comprised 121 eyes of 121 consecutive patients undergoing ICL surgery through a 3.0-mm temporal or superior clear corneal incision. The magnitude and the axis of corneal astigmatism preoperatively and 3 months postoperatively were measured using an automated keratometer. The M-SIA and the SVM-SIA were determined according to the incision site.ResultsThe magnitude of corneal astigmatism significantly increased from 1.23 ± 0.59 D preoperatively to 1.46 ± 0.72 D postoperatively in the temporal incision group (Wilcoxon signed-rank test, P < 0.001), but it significantly decreased from 1.09 ± 0.36 D preoperatively to 0.86 ± 0.41 D postoperatively in the superior incision group (P < 0.001). The M-SIA was 0.48 ± 0.30 D, and the SVM-SIA was 0.23 ± 0.52 D at a meridian of 82° in the temporal incision group. The M-SIA was 0.57 ± 0.30 D, and the SVM-SIA was 0.47 ± 0.45 D at a meridian of 1° in the superior incision group.ConclusionsICL implantation induces the M-SIA by approximately 0.5 D, but the SVM-SIA decreased to 50% and 80% of the M-SIA in magnitude through temporal and superior incisions, respectively. The direction of the SVM-SIA showed a tendency toward corneal flattening to the incisional site. It should be noted that the M-SIA is somewhat different from the SVM-SIA according to the incision site.展开更多
基金funded by National Key Research and Development Program of China under Grant 2022YFE0107300the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-KPX0162+3 种基金the National Natural Science Foundation of China under Grant U22A20101the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-CUX0015the Chongqing postdoctoral innovativetalents support program under Grant CQBX202205the China Postdoctoral Science Foundation under Grant 2023M730411.
文摘This paper focuses on the reachable set estimation for Markovian jump neural networks with time delay.By allowing uncertainty in the transition probabilities,a framework unifies and enhances the generality and realism of these systems.To fully exploit the unified uncertain transition probabilities,an equivalent transformation technique is introduced as an alternative to traditional estimation methods,effectively utilizing the information of transition probabilities.Furthermore,a vector Wirtinger-based summation inequality is proposed,which captures more system information compared to existing ones.Building upon these components,a novel condition that guarantees a reachable set estimation is presented for Markovian jump neural networks with unified uncertain transition probabilities.A numerical example is illustrated to demonstrate the superiority of the approaches.
文摘Background:To compare the arithmetic mean(M-SIA)and the summated vector mean of surgically induced astigmatism(SVM-SIA)according to the incision site after phakic intraocular lens(Visian implantable collamer lens(ICL),STAAR Surgical)implantation.Methods:This study comprised 121 eyes of 121 consecutive patients undergoing ICL surgery through a 3.0-mm temporal or superior clear corneal incision.The magnitude and the axis of corneal astigmatism preoperatively and 3 months postoperatively were measured using an automated keratometer.The M-SIA and the SVM-SIA were determined according to the incision site.Results:The magnitude of corneal astigmatism significantly increased from 1.23±0.59 D preoperatively to 1.46±0.72 D postoperatively in the temporal incision group(Wilcoxon signed-rank test,P<0.001),but it significantly decreased from 1.09±0.36 D preoperatively to 0.86±0.41 D postoperatively in the superior incision group(P<0.001).The M-SIA was 0.48±0.30 D,and the SVM-SIA was 0.23±0.52 D at a meridian of 82°in the temporal incision group.The M-SIA was 0.57±0.30 D,and the SVM-SIA was 0.47±0.45 D at a meridian of 1°in the superior incision group.Conclusions:ICL implantation induces the M-SIA by approximately 0.5 D,but the SVM-SIA decreased to 50%and 80%of the M-SIA in magnitude through temporal and superior incisions,respectively.The direction of the SVM-SIA showed a tendency toward corneal flattening to the incisional site.It should be noted that the M-SIA is somewhat different from the SVM-SIA according to the incision site.
文摘BackgroundTo compare the arithmetic mean (M-SIA) and the summated vector mean of surgically induced astigmatism (SVM-SIA) according to the incision site after phakic intraocular lens (Visian implantable collamer lens (ICL), STAAR Surgical) implantation.MethodsThis study comprised 121 eyes of 121 consecutive patients undergoing ICL surgery through a 3.0-mm temporal or superior clear corneal incision. The magnitude and the axis of corneal astigmatism preoperatively and 3 months postoperatively were measured using an automated keratometer. The M-SIA and the SVM-SIA were determined according to the incision site.ResultsThe magnitude of corneal astigmatism significantly increased from 1.23 ± 0.59 D preoperatively to 1.46 ± 0.72 D postoperatively in the temporal incision group (Wilcoxon signed-rank test, P < 0.001), but it significantly decreased from 1.09 ± 0.36 D preoperatively to 0.86 ± 0.41 D postoperatively in the superior incision group (P < 0.001). The M-SIA was 0.48 ± 0.30 D, and the SVM-SIA was 0.23 ± 0.52 D at a meridian of 82° in the temporal incision group. The M-SIA was 0.57 ± 0.30 D, and the SVM-SIA was 0.47 ± 0.45 D at a meridian of 1° in the superior incision group.ConclusionsICL implantation induces the M-SIA by approximately 0.5 D, but the SVM-SIA decreased to 50% and 80% of the M-SIA in magnitude through temporal and superior incisions, respectively. The direction of the SVM-SIA showed a tendency toward corneal flattening to the incisional site. It should be noted that the M-SIA is somewhat different from the SVM-SIA according to the incision site.
