Data-Driven Nonlinear Control for Orbit Transfer: From the Earth to Moon and L4/5

From the recent thirty years, scientists will never stop exploring the outer space. To assist the development of travelling into the universe, I devote myself into providing theoretical support and future indications for designing the optimal orbit for satellite to travel in a Three-Body System. This paper offers the optimal orbit for satellite to change path in the earth-moon system. Also, it provides the path for the satellite to use the least fuel to go to the L4 and L5 Lagrange points. These inspiring results are obtained through several steps: to solve the problems caused by the non-linear character of Three-Body System, I use Koopman eigenfunction to change the system into a linear one. Data-driven method is adopted to find the most suitable Koopman eigenfunction to apply control. The traditional LQR operator for linear system is used to design the optimal orbit for the satellite.

Neuroprotective effects of Longxue Tongluo Capsule on ischemic stroke rats revealed by LC-MS/MS-based metabolomics approach

Objective:The present study aimed to evaluate the therapeutic effect and explore the underlying mechanisms of Longxue Tongluo Capsule(LTC)on ischemic stroke rats.Methods:Twenty-six rats were randomly divided into four groups,including sham group,sham+LTC group,MCAO group,and MCAO+LTC group.Ischemic stroke rats were simulated by middle cerebral artery occlusion(MCAO),and LTC treatment group were orally administrated with 300 mg/kg of LTC once daily for seven consecutive days.LTC therapy was validated in terms of neurobehavioral abnormality evaluation,cerebral infarct area,and histological assessments.The plasma metabolome comparisons amongst different groups were conducted by UHPLC-Q Exactive MS in combination with subsequent multivariate statistical analysis,aiming to finding the molecules in respond to the surgery or LTC treatment.Results:Intragastric administration of LTC significantly decreased not only the neurobehavioral abnormality scores but also the cerebral infarct area of MCAO rats.The interstitial edema,atrophy,and pyknosis of glial and neuronal cells occurred in the infarcted area,core area,and marginal area of cerebral cortex were improved after LTC treatment.A total of 13 potential biomarkers were observed,and Youden index of 11 biomarkers such as LysoPC,SM,and PE were more than 0.7,which were involved in neuroprotective process.The correlation and pathway analysis showed that LTC was beneficial to ischemic stroke rats via regulating glycerophospholipid and sphingolipid metabolism,together with nicotinate and nicotinamide metabolism.Heatmap and ternary analysis indicated the synergistic effect of carbohydrates and lipids may be induced by flavonoid intake from LTC.Conclusion:The present study could provide evidence that metabolomics,as systematic approach,revealed its capacity to evaluate the holistic efficacy of TCM,and investigate the molecular mechanism underlying the clinical treatment of LTC on ischemic stroke.