Finite-Time Boundedness Control of Time-Varying Descriptor Systems

This paper mainly studies a control problem of finite-time boundedness of time-varying descriptor systems. Firstly, a sufficient and necessary condition of finite-time stability is given, then a sufficient condition of finite-time boundedness for time-varying descriptor systems is given. Secondly, we analyze the finite-time boundedness control problem and design the finite-time state feedback controller; the controller is given based on LMIs for time-varying descriptor systems and time-varying uncertain descriptor systems, respectively. Finally, a numerical example is given to prove the effectiveness of the method

Symmetry Dictionary on Charge and Spin Nonlinear Responses for All Magnetic Point Groups with Nontrivial Topological Nature

Recently, charge or spin nonlinear transport with nontrivial topological properties in crystal materials has attracted much attention. In this paper, we perform a comprehensive symmetry analysis for all 122 magnetic point groups (MPGs) and provide a useful dictionary for charge and spin nonlinear transport from Berry curvature dipole, Berry connection polarization and Drude term with nontrivial topological nature. The results are obtained by making a full symmetry investigation on matrix representations of six nonlinear response tensors. We further identify every MPG that can accommodate two or three of the nonlinear tensors. The present work gives a solid theoretical basis for overall understanding the second-order nonlinear responses in realistic materials.Comment: 5 pages, 2 figure

Further improvement of N6 medium for callus induction and plant regeneration from maize immature embryos

To explore the possibility to improve N6 medium for callus induction and plant regeneration from maize immature embryos, comparative experiments were conducted to screen the optimal calcium concentration for the callus induction medium and the subculture medium modified from N6 medium and to examine the effects of uniconazole and ABT root promoting powder supplement on plant regeneration and root generation. According to the results, the calcium concentration of N6 medium was increased from 1.13 to 5 mmol/l for callus induction and subculture. Uniconazole from 0.25 and 0.5 mg/l and ABT root promoting powder of 0.5 mg/l were suggested to be supplemented to the regeneration medium and the root generation, separately. On these improved media, the frequency of callus induction, the relative proliferation rate of callus subculture, the regeneration rate and the average root biomass of the regenerated plantlets increased significantly. All these improvements facilitate the establishment of acceptor system from elite parental inbred lines of commercial hybrids and provide a solid basis for transgenic manipulation of maize.Keywords: ABT root-promoting powder, calcium, callus induction, immature embryo, maize, N6 medium, plant regeneration, uniconazol

N′-[(2-Hy­droxy­naphthalen-1-yl)methyl­idene]-4-nitro­benzohydrazide

In the title mol­ecule, C18H13N3O4, the hy­droxy group is involved in the formation of an intra­molecular O—H⋯N hydrogen bond. The dihedral angle between the planes of the benzene ring and the naphthyl ring system is 9.0 (2)°. In the crystal, mol­ecules are linked through N—H⋯O hydrogen bonds into chains along the c axis