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A CHARACTERIZATION OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS
Hu, Peichu,Zhang, Pingyuan Korean Mathematical Society 2016 대한수학회보 Vol.53 No.6
In this article, we establish a characterization of meromorphic functions and L-functions in the extended Selberg class, which shows that how they are uniquely determined by their c-values.
A characterization of L-functions in the extended Selberg class
Pei-Chu Hu,Pingyuan Zhang 대한수학회 2016 대한수학회보 Vol.53 No.6
In this article, we establish a characterization of meromorphic functions and $L$-functions in the extended Selberg class, which shows that how they are uniquely determined by their $c$-values.
Yaru Li,Shuchen Zhang,Ziwei Zhu,Ruonan Zhou,Pingyuan Xu,Lingyan Zhou,Yue Kan,Jiao Li,Juan Zhao,Penghua Fang,Xizhong Yu,Wenbin Shang 고려인삼학회 2022 Journal of Ginseng Research Vol.46 No.4
Background: Ginsenoside Rb1 (GRb1) is capable of regulating lipid and glucose metabolism through itsaction on adipocytes. However, the beneficial role of GRb1-induced up-regulation of adiponectin in liversteatosis remains unelucidated. Thus, we tested whether GRb1 ameliorates liver steatosis and insulinresistance by promoting the expression of adiponectin. Methods: 3T3-L1 adipocytes and hepatocytes were used to investigate GRb1's action on adiponectinexpression and triglyceride (TG) accumulation. Wild type (WT) mice and adiponectin knockout (KO)mice fed high fat diet were treated with GRb1 for 2 weeks. Hepatic fat accumulation and function as wellas insulin sensitivity was measured. The activation of AMPK was also detected in the liver andhepatocytes. Results: GRb1 reversed the reduction of adiponectin secretion in adipocytes. The conditioned medium(CM) from adipocytes treated with GRb1 reduced TG accumulation in hepatocytes, which was partlyattenuated by the adiponectin antibody. In the KO mice, the GRb1-induced significant decrease of TGcontent, ALT and AST was blocked by the deletion of adiponectin. The elevations of GRb1-induced insulinsensitivity indicated by OGTT, ITT and HOMA-IR were also weakened in the KO mice. The CM treatmentsignificantly enhanced the phosphorylation of AMPK in hepatocytes, but not GRb1 treatment. Likewise,the phosphorylation of AMPK in liver of the WT mice was increased by GRb1, but not in the KO mice. Conclusions: The up-regulation of adiponectin by GRb1 contributes to the amelioration of liver steatosisand insulin resistance, which further elucidates a new mechanism underlying the beneficial effects ofGRb1 on obesity
A Robust Adaptive Controller for Hammerstein Nonlinear Systems
Ping Yuan,Bi Zhang,Zhi-Zhong Mao 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.2
Hammerstein nonlinear systems have appeared useful in modeling nonlinear processes encountered inengineering practice. Control algorithms may lead to unsatisfactory performance if the parametric model doesnot agree with the plant. To this end, this paper proposes a new robust adaptive control approach for discretetimeHammerstein nonlinear systems which are more close to some industrial plants. The adaptive control law andrecursive parameter estimation are updated by introducing the estimate of the model error as a feedback. Theoreticalresults show that parameter estimation convergence and closed-loop system stability can be guaranteed under mildconditions. Simulation examples including a continuous stirred tank reactor (CSTR) system are given to show theeffectiveness of the obtained results.