Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer

This paper proposes an alternative robust adaptive high-gain fuzzy observer design scheme and its application to synchronization and secure communication of chaotic systems. It is assumed that their states are immeasurable and their parameters are unknown. The structure of the proposed observer is represented by Takagi–Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of high-gain observer and makes the proposed observer robust against noisy measurements, uncertainties and parameter perturbations as well. Using Lyapunov stability theory, an adaptive law is derived to estimate the unknown parameters and the stability of the proposed observer is analyzed. Some simulation result of synchronization and secure communication of chaotic systems is given to present the validity of theoretical derivations and the performance of the proposed observer as an application.     

Diffusion-enhanced resonance energy transfer shows that linker-DNA accessibility decreases during salt-induced chromatin condensation

Accessibility of linker-DNA chromatin during salt-induced condensation of chicken erythrocytes chromatin was studied by diffusion-enhanced resonance energy transfer. A terbium complex was covalently bound to linker-DNA and fluorescein molecules bound to latex particles with diameters ranging from 14 to 2470 nm were used as acceptor. The accessibility of linker-DNA to molecules with a diameter superior to 14 nm diminished during condensation, but for an acceptor diameter of 14 nm or less, no accessibility variation was observed. It can be concluded that (1) linker-DNA is located inside the fiber when chromatin is in the condensed state, (2) chromatin condensation can prevent the approach to DNA due to steric hindrance, (3) salt-induced chromatin condensation is a gradual process, and (4) condensed chromatin models containing a central cavity are more likely.Abbreviations DTPA diethylene tetramine pentacetic acid - FDL-DERET fast diffusion limit of diffusion-enhanced resonance energy transfer - Pso-Tb psoralen-terbium complex - PAS paraamino salicylic acid - TREF time-resolved emission of fluorescence     

Comparing three stochastic search algorithms for computational protein design: Monte Carlo,replica exchange Monte Carlo,and a multistart,steepest‐descent heuristic

Computational protein design depends on an energy function and an algorithm to search the sequence/conformation space. We compare three stochastic search algorithms: a heuristic, Monte Carlo (MC), and a Replica Exchange Monte Carlo method (REMC). The heuristic performs a steepest‐descent minimization starting from thousands of random starting points. The methods are applied to nine test proteins from three structural families, with a fixed backbone structure, a molecular mechanics energy function, and with 1, 5, 10, 20, 30, or all amino acids allowed to mutate. Results are compared to an exact, “Cost Function Network” method that identifies the global minimum energy conformation (GMEC) in favorable cases. The designed sequences accurately reproduce experimental sequences in the hydrophobic core. The heuristic and REMC agree closely and reproduce the GMEC when it is known, with a few exceptions. Plain MC performs well for most cases, occasionally departing from the GMEC by 3–4 kcal/mol. With REMC, the diversity of the sequences sampled agrees with exact enumeration where the latter is possible: up to 2 kcal/mol above the GMEC. Beyond, room temperature replicas sample sequences up to 10 kcal/mol above the GMEC, providing thermal averages and a solution to the inverse protein folding problem. © 2016 Wiley Periodicals, Inc.     

A Novel Synthesis of 1,5-Dithio-β-D-xylopyranosides

In order to obtain 1,5-dithio-b-D-xylopyranosides, with this precise stereochemistry we have described here the synthesis and use of 2,3,4-tri-O-acetyl-1,5-dithio-b-D-xylopyranose.     

Oxo iron(IV) as an oxidative active intermediate of p-chlorophenol in the Fenton reaction: a DFT study

Debate continues over which active species plays the role of oxidative agent during the Fenton reaction-the HO˙ radical or oxo iron [Fe(IV)O](2+). In this context, the present study investigates the oxidation of p-chlorophenol by [Fe(IV)O(H(2)O)(5)](2+) using DFT calculations, within gas-phase and micro-solvated models, in order to explore the possible role of oxo iron as a reactant. The results show that the chlorine atom substitution of p-chlorophenol by oxo iron is a highly stabilising step (ΔH = -83 kcal mol(-1)) with a free energy barrier of 5.8 kcal mol(-1) in the micro-solvated model. This illustrates the high oxidising power of the [Fe(IV)O(H(2)O)(5)](2+) complex. On the other hand, the breaking of the Fe-O bond, leading to the formation of hydroquinone, is observed to be the rate-determining step of the reaction. The rather large free energy barrier corresponding to this bond cleavage amounts to 10.2 and 9.3 kcal mol(-1) in the gas-phase and micro-solvated models, respectively. Elsewhere, the lifetime of the HO˙ radical has previously been shown to be extremely small. These facts, combined with observations of oxo iron under certain experimental conditions, suggest that oxo iron is a highly plausible oxidative species of the reaction. In addition, a trigonal bipyramidal iron complex, coordinated either by hydroxyl groups and/or by water molecules, has been found in all described mechanisms. This structure appears to be a stable intermediate; and to our knowledge, it has not been characterised by previous studies.     

Adaptive synchronization of T–S fuzzy chaotic systems with unknown parameters

This paper presents a fuzzy model-based adaptive approach for synchronization of chaotic systems which consist of the drive and response systems. Takagi–Sugeno (T–S) fuzzy model is employed to represent the chaotic drive and response systems. Since the parameters of the drive system are assumed unknown, we design the response system that estimates the parameters of the drive system by adaptive strategy. The adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. In addition, the controller in the response system contains two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples, including Duffing oscillator and Lorenz attractor, are given to demonstrate the validity of the proposed adaptive synchronization approach.     

Model reference adaptive synchronization of T–S fuzzy discrete chaotic systems using output tracking control

This paper presents a model reference adaptive control approach for the synchronization of a discrete-time chaotic systems using output tracking control. The reference model system is chosen using the output of master system and Takagi–Sugeno (T–S) fuzzy model is employed to represent the discrete-time chaotic slave system. Design the control input so that the controlled slave system achieves asymptotic synchronization with the reference system given that two systems start from different initial conditions, different parameters and/or different type of model. Using a gradient algorithm, the ideal controller gains which can stabilize the error equation are estimated. Simulation examples of two cases are given to demonstrate the validity of our proposed adaptive method.     

An Interferometric Optical Technique for In-Situ Measurement of Fiber Diameter

The diameter distribution of fibers plays an important role in the performance of many fiberglass products. The fiberglass industry, however, currently lacks the advanced instrumentation necessary for performing on-line fiber diameter measurements. Enhanced measurement capabilities would provide manufacturers and researchers a tool to improve fiberizing methods, production efficiency, and overall fiberglass product performance. This paper describes the size measurement of moving glass fibers using the Phase Doppler Anemometry technique. Simulation results are presented and validated experimentally. Theoretical modeling uses the mathematical solution for a tilted circular cylinder interacting with focused Laser beams. Experimental laboratory studies have been also conducted to evaluate the factors not included in the theoretical models.