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Robust Stability Analysis of Time-varying Delay Systems via an Augmented States Approach
Chao-Yang Dong,Ming-Yu Ma,Qing Wang,Si-Qian Ma 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.4
This paper focuses on the robust stability analysis of linear systems with time varying delays. The second derivative of the state is used to construct a novel Lyapunov-Krasovskii functional (LKF). Then, both the integrals and derivatives of the states along with the delayed states could be taken into consideration in handling of the LKF. We introduce these augmented variables and establish correlations between them. Moreover, our approach makes it available that quadratic convex combination can be applied not only to the time delay, but also to the derivative of it. Robust stability criteria are presented, and numerical examples illustrate that the methods are less conservative.
Zebrafish Dnd protein binds to 3`UTR of geminin mRNA and regulates its expression
( Shu Chen ),( Mei Zeng ),( Hua Qin Sun ),( Wen Qian Deng ),( Yi Lu Lu ),( Da Chang Tao ),( Yun Qiang Liu ),( Si Zhong Zhang ),( Yong Xin Ma ) 생화학분자생물학회 2010 BMB Reports Vol.43 No.6
Dnd (dead end) gene encodes an RNA binding protein and is specifically expressed in primordial germ cells (PGCs) as a vertebrate-specific component of the germ plasma throughout embryogenesis. By utilizing a technique of specific nucleic acids associated with proteins (SNAAP), 13 potential target mRNAs of zebrafish Dnd (ZDnd) protein were identified from 8-cell embryo, and 8 target mRNAs have been confirmed using an RT-PCR analysis. Of the target mRNAs, the present study is focused on the regulation of geminin, which is an inhibitor of DNA replication. Using electrophoretic mobility shift assay (EMSA), we demonstrated that ZDND protein bound the 67-nucleotide region from 864 to 931 in the 3`UTR of geminin mRNA, a sequence containing 60.29% of uridine. Results from a dual-luciferase assay in HEK293 cells showed that ZDND increases the translation of geminin. Taken together, the identification of target mRNA for ZDnd will be helpful to further explore the biological function of Dnd in zebrafish germ-line development as well as in cancer cells. [BMB reports 2010; 43(6): 438-444]