时滞非线性连续切换系统观测器设计

针对非线性时滞切换系统进行了观测器设计.通过构造李雅普诺夫Krasovskii泛函、利用线性矩阵不等式与平均驻留时间的策略,提出切换系统的增益矩阵设计,讨论了在切换系统无扰动的情况下误差切换系统指数渐近稳定的充分条件.在此基础之上进一步研究了具有扰动影响时,误差切换系统具有H_∞性能指标的线性矩阵不等式条件.其次把结果推广到误差切换系统有共同Lyapunov函数的情况,也进一步简化为没有时延的情况.最后给出仿真例子,显示切换系统的观测器设计是行之有效的.     

密度泛函理论研究鸟氨酸盐在Mg(0001)表面的吸附机理

镁及镁合金具有与人体自然骨的密度相近,良好的生物相容性等特点,但作为生物医用材料植入人体之后,及易降解和腐蚀.本论文用密度泛函理论研究了鸟氨酸盐在Mg(0001)表面的吸附,通过吸附能,态密度,电荷差分密度等分析发现鸟氨酸盐在Mg(0001)表面存在强烈的Mg-O和Mg-N相互作用,从而鸟氨酸盐有望在镁金属的表面可以形成一层致密的氧化膜,达到改善镁金属材料的耐腐蚀性,降低降解速度的目的 .     

密度泛函理论研究鸟氨酸盐在Mg(0001)表面的吸附机理

镁及镁合金具有与人体自然骨的密度相近,良好的生物相容性等特点,但作为生物医用材料植入人体之后,及易降解和腐蚀。本论文用密度泛函理论研究了鸟氨酸盐在Mg(0001)表面的吸附,通过吸附能,态密度,电荷差分密度等分析发现鸟氨酸盐在Mg（0001）表面存在强烈的Mg-O和Mg-N相互作用,从而鸟氨酸盐有望在镁金属的表面可以形成一层致密的氧化膜,达到改善镁金属材料的耐腐蚀性,降低降解速度的目的。     

阴性及中性丝氨酸与纯的金属掺杂石墨烯相互作用的密度泛函理论研究

We present a theoretical study of interactions of anionic and neutral serine (Ser) on pure or metal-doped graphene surfaces using density functional theory calculations. Interactions of both types of Ser with the pure graphene surface show weak non-covalent interactions due to the formation of -COOH…π, -COO^-…π, and -OH…π interactions. On metaldoped graphene, covalent interactions to the surface dominate, due to the formation of strong metal-O and O-metal-O interactions. Furthermore, the doped Fe, Cr, Mn, Al, or Ti enhances the ability of graphene to attract both types of Ser by a combination of the adsorption energy, the density of states, the Mulliken atomic charges, and differences of electron density. At the same time, the interaction strengths of anionic Ser on various graphene surfaces are stronger than those of neutral Ser. These results provide useful insights for the rational design and development of graphene-based sensors for the two forms of Ser by introducing appropriate doped atoms. Ti and Fe are suggested to be the best choices among all doped atoms for the anionic Ser and neutral Ser, respectively.