The Optimal Solution of a Non-Convex State-Dependent LQR Problem and Its Applications

This paper studies a Non-convex State-dependent Linear Quadratic Regulator (NSLQR) problem, in which the control penalty weighting matrix in the performance index is state-dependent. A necessary and sufficient condition for the optimal solution is established with a rigorous proof by Euler-Lagrange Equation. It is found that the optimal solution of the NSLQR problem can be obtained by solving a Pseudo-Differential-Riccati-Equation (PDRE) simultaneously with the closed-loop system equation. A Comparison Theorem for the PDRE is given to facilitate solution methods for the PDRE. A linear time-variant system is employed as an example in simulation to verify the proposed optimal solution. As a non-trivial application, a goal pursuit process in psychology is modeled as a NSLQR problem and two typical goal pursuit behaviors found in human and animals are reproduced using different control weighting . It is found that these two behaviors save control energy and cause less stress over Conventional Control Behavior typified by the LQR control with a constant control weighting , in situations where only the goal discrepancy at the terminal time is of concern, such as in Marathon races and target hitting missions.     

Ecotoxicity of soils contaminated with industrial and domestic wastewater in western shenyang,China

Soil samples were collected from 7 sites in the up-, mid-and down-reach along and nearby the wastewater irrigation channel, western Shenyang of China. The concentrations of selected pollutants (mineral oil, PAHs - polycycle aromatic hydrocarbons and Cd) were determined by UV spectrometer, HPLC and AAS (atomic adsorption spectrometer) spectrometer, respectively. Toxicity effects of soils were evaluated by seedling emergence test with root length of wheat as the end-point and by earthworms test with the mortality rate and inhibition rates of body weight as endpoints. Results showed accumulation of pollutants for most soils with concentration of 200.2 mg.kg⁻¹∼1600 mg.kg⁻¹ for mineral oil, 0.33 mg.kg⁻¹∼1.81 mg.kg⁻¹ for Cd and 900.16 mg.kg⁻¹ ∼ 2737.91 mg.kg⁻¹ for PAHs. The inhibition rates of root elongation were from −20% up to 40 %, and mortality rates of earthworms ranged from 0%∼40% from the exposure period of two weeks to eight weeks by sampling interval of two weeks, the inhibition rates of earthworm growth were from −19.36% to 34.53%, showing effects of stimulation at 2 weeks to an increasing effects of inhibition at 4, 6 and 8 weeks, respectively. Mortality rates correlated with the loss of body weight of earthworms.

This study indicated the potential risk of pollutants of environmental low content in soil by the determination of selected chemicals combined with toxicity indexes.

     

Influence of GATC sequences on Escherichia coli DNA mismatch repair in vitro.

The effect of the number and position of DNA adenine methylation (dam) sites, i.e., d(GATC) sequences, on mismatch repair in Escherichia coli was investigated. The efficiency of repair was measured in an in vitro assay which used an f1 heteroduplex containing a G/T mismatch within the single EcoRI site. Both an increase in the number of dam sites and a shortened distance between dam site and mismatched site increased the efficiency of mismatch repair. The sequences adjacent to d(GATC) also affected the efficiency of methylation-directed mismatch repair. Furthermore, heteroduplexes with one extra dam site located close to either the 5' or 3' end of the excised base increased the repair efficiency to about the same extent. The findings suggest that the mismatch repair pathway has no preferred polarity.     

白兰瓜果实输入~(14)C-葡萄糖的转化与蔗糖合成

~(14)C 追踪试验结果表明,白兰瓜幼果中输入的~(14)C-葡萄糖,50%以上转化为稀酸水解和稀酸不水解的结构物质;果实发育后期,输入后48小时,在果肉和种子中分别只有18%和32%的~(14)C 参入结构物质。根据醇溶性糖的纸层析鉴定,幼果薄片渗入的~(14)C-葡萄糖仅转化为果糖,而发育后期果实则更多转化为蔗糖。显然,幼果的代谢模式是使物质和能量导向结构物质的形成;而后期果实生长已基本停止,物质代谢的方向又转向蔗糖合成的轨道上来。蔗糖合成底物试验结果表明,供给幼果不同底物都只有很低的蔗糖合成活性;发育后期果实供给UDPG+F-6-P 底物时可测出较高的蔗糖合成活性,初步推测白兰瓜中蔗糖合成主要是通过蔗糖磷酸酯合成酶来实现的。     

Formation of lymphocyte colonies under serum-free culture conditions in normal individuals and patients with chronic lymphocytic leukemia

This paper describes a culture system which supports the formation of B cell and some T cell colonies under serum-free conditions in peripheral blood samples of normal individuals and patients with chronic lymphocytic leukemia (CLL) of B cell type. In this system, serum is replaced by bovine serum albumin, transferrin, cholesterol, insulin and catalase or horseradish peroxidase. In addition, it is necessary to add staphylococcus protein A, mitomycin-treated T cells as feeders and phytohemagglutinin leukocyte-conditioned medium as a source of growth factors. The plating efficiency is greatly enhanced when normal cells are incubated with galactose oxidase prior to plating and when CLL cells are exposed sequentially to neuraminidase and galactose oxidase.