Adaptive Guaranteed-Performance Consensus Control for Multiagent Systems With an Adjustable Convergence Speed

Adaptive guaranteed-performance consensus control problems for multi-agent systems are investigated, where the adjustable convergence speed is discussed. This paper firstly proposes a novel adaptive guaranteed-performance consensus protocol, where the communication weights can be adaptively regulated. By the state space decomposition method and the stability theory, sufficient conditions for guaranteed-performance consensus are obtained, as well as the guaranteed-performance cost. Moreover, since the convergence speed is usually adjusted by changing the algebraic connectivity in existing works, which increases the communication burden and the load of the controller, and the system topology is always given in practical applications, the lower bound of the convergence coefficient for multi-agent systems with the adaptive guaranteed-performance consensus protocol is deduced, which is linearly adjustable approximately by changing the adaptive control gain. Finally, simulation examples are introduced to demonstrate theoretical results

Four new isoflavanones from Tadehagi triquetrum

Four new isoflavanones with isoprenoid units, named triquetrumones E-H (1–4), were isolated from the whole plants of Tadehagi triquetrum. The structures were elucidated on the basis of spectroscopic analyses, including application of MS, UV, IR, 1D and 2D NMR spectroscopic techniques. [Image: see text] ELECTRONIC SUPPLEMENTARY MATERIAL: Supplementary material is available for this article at 10.1007/s13659-011-0033-5 and is accessible for authorized users

Abietane Diterpenoids and a Lignan from Pinus yunnanensis

Two new abietane diterpene acids, pinyunins A (1) and B (2), a new lignan, 2-[2-hydroxy-5-(3-hydroxypropyl)-3-methoxyphenyl]-1-(2,3-dihydroxyphenyl)propane-1,3-diol (3), and eight known diterpenoids (4 -11) were isolated from the bark of Pinus yunnanensis Franch. Their structures were elucidated by spectroscopic methods. Compounds 1 -3 exhibited high inhibitions on Cox-2 (> 80 %) and low inhibitions on Cox-1 (< 50 %), showing the trend of selective inhibition of Cox-2, while the positive controls NS-398 (Cox-2) and SC-560 (Cox-1) gave inhibitions of 97.09 % and 61.30 %, respectively. Compounds 1 -11 were evaluated for their cytotoxicity against five human cancer cell lines with Cisplatin as a positive control

Two New Clerodane-type Diterpenoids from Gomphostemma microdon

Two new clerodane-type diterpenoids, along with seven known compounds have been isolated from the aerial parts of Gomphostemma microdon. All structures were established on the basis of spectroscopic analyses, including application of MS, UV, IR, 1D and 2D NMR techniques

Quantum theory of light diffraction

At present, the theory of light diffraction only has the simple wave-optical approach. In this paper, we study light diffraction with the approach of relativistic quantum theory. We find that the slit length, slit width, slit thickness and wave-length of light have affected to the diffraction intensity and form of diffraction pattern. However, the effect of slit thickness on the diffraction pattern can not be explained by wave-optical approach, and it can be explained in quantum theory. We compare the theoretical results with single and multiple slits experiment data, and find the theoretical results are accordance with the experiment data. Otherwise, we give some theory prediction. We think all the new prediction will be tested by the light diffraction experiment.Comment: 10 page

Function Photonic Crystals

In the paper, we present a new kind of function photonic crystals, which refractive index is a function of space position. Unlike conventional PCs, which structure grow from two materials, A and B, with different dielectric constants $\epsilon_{A}$ and $\epsilon_{B}$. By Fermat principle, we give the motion equations of light in one-dimensional, two-dimensional and three-dimensional function photonic crystals. For one-dimensional function photonic crystals, we study the dispersion relation, band gap structure and transmissivity, and compare them with conventional photonic crystals. By choosing various refractive index distribution function $n(z)$, we can obtain more width or more narrow band gap structure than conventional photonic crystals.Comment: 15 pages, 8 figures. arXiv admin note: text overlap with arXiv:1001.3793 by other authors; and text overlap with arXiv:1003.3524, arXiv:physics/0104088 by other authors without attributio

Two New Isoquinoline Alkaloids from Litsea cubeba

Two new aporphine-type isoquinoline alkaloids, (+)-N-(methoxy-carbonyl)-N-norlauroscholtzine (1) and (+)-N-(methoxy-carbonyl)-N-norglaucine (2), were isolated from Litsea cubeba and identified by spectroscopic techniques (NMR, MS, UV, and IR). Their structures contain an N-(methoxycarbonyl) moiety, which has seldomly been found in the natural products of these analogs. Both compounds 1 and 2 showed no antibacterial activity against Staphylococcus aureus

Schr\"odinger equation of general potential

It is well known that the Schr\"odinger equation is only suitable for the particle in common potential $V(\vec{r},t)$. In this paper, a general Quantum Mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential $V(\vec{r}, \dot{\vec{r}}, t)$. We think these new quantum wave equations can be applied in many fields.Comment: 10 pages, 0 figures, accepted for publication in International Journal of Modern Physics B. arXiv admin note: substantial text overlap with arXiv:0909.2995; and text overlap with arXiv:0711.3544 by other authors without attributio

Plant toxin β-ODAP activates integrin β1 and focal adhesion : a critical pathway to cause neurolathyrism

Neurolathyrism is a unique neurodegeneration disease caused by beta-N-oxalyl-L-alpha, beta-diaminopropionic (beta-ODAP) present in grass pea seed (Lathyrus stativus L.) and its pathogenetic mechanism is unclear. This issue has become a critical restriction to take full advantage of drought-tolerant grass pea as an elite germplasm resource under climate change. We found that, in a human glioma cell line, beta-ODAP treatment decreased mitochondrial membrane potential, leading to outside release and overfall of Ca2+ from mitochondria to cellular matrix. Increased Ca2+ in cellular matrix activated the pathway of ECM, and brought about the overexpression of beta 1 integrin on cytomembrane surface and the phosphorylation of focal adhesion kinase (FAK). The formation of high concentration of FA units on the cell microfilaments further induced overexpression of paxillin, and then inhibited cytoskeleton polymerization. This phenomenon turned to cause serious cell microfilaments distortion and ultimately cytoskeleton collapse. We also conducted qRT-PCR verification on RNA-sequence data using 8 randomly chosen genes of pathway enrichment, and confirmed that the data was statistically reliable. For the first time, we proposed a relatively complete signal pathway to neurolathyrism. This work would help open a new window to cure neurolathyrism, and fully utilize grass pea germplasm resource under climate change