Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems

This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional(LKF) with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results.

Multiple off-axis acoustic vortices generated by dual coaxial vortex beams

As a kind of special acoustic field, the helical wavefront of an acoustic vortex（AV） beam is demonstrated to have a pressure zero with phase singularity at the center in the transverse plane. The orbital angular momentum of AVs can be applied to the field of particle manipulation, which attracts more and more attention in acoustic researches. In this paper,by using the simplified circular array of point sources, dual coaxial AV beams are excited by the even-and odd-numbered sources with the topological charges of l_E and l_O based on the phase-coded approach, and the composite acoustic field with an on-axis center-AV and multiple off-axis sub-AVs can be generated by the superimposition of the AV beams for｜l_E｜ ≠ ｜l_O｜. The generation of edge phase dislocation is theoretically derived and numerically analyzed for l_E=-l_O. The numbers and the topological charges as well as the locations of the center-AV and sub-AVs are demonstrated, which are proved to be determined by the topological charges of the coaxial AV beams. The proposed approach breaks through the limit of only one on-axis AV with a single topological charge along the beam axis, and also provides the feasibility of off-axis particle trapping with multiple AVs in object manipulation.

Nonlinear System Identification with Unknown Piecewise Time-Varying Delay

Identification of nonlinear systems with unknown piecewise time-varying delay is concerned in this paper.Multiple auto regressive exogenous(ARX) models are identified at different process operating points,and the complete dynamics of the nonlinear system is represented by using a combination of a normalized exponential function as the probability density function with each of the local models.The parameters of the local ARX models and the exponential functions as well as the unknown piecewise time-varying delays are estimated simultaneously under the framework of the expectation maximization(EM) algorithm.A simulation example is applied to demonstrating the proposed identification method.

NOVEL APPROACHES FOR THE DETERMINATION OF MULTIPLE PARTICULAR PESTICIDES IN TRADITIONAL CHINESE MEDICINES WITH COMPLEX MATRICES

The pesticide contamination of Traditional Chinese Medicines(TCMs)takes different ways,which caused the complexity of pesticide residues.The effective control of pesticide residues and the establishment of relevant detection methods are very important for ensuring the safety of TCMs.Our group has been committed to the determination of pesticide residues in TCMs for years.

A Sliding Mode Observer for Uncertain Nonlinear Systems Based on Multiple Models Approach

This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters＇ variations of the nonlinear system. Linear matri~ inequalities （LMIs） have been established in order to ensure the stability conditions of the multiple observer which lead to determine the estimation gains. A sliding mode gain has been added in order to compensate the uncertainties. Numerical simulations through a state space model of a real process have been realized to show the robustness of the synthesized observer.

Multiple Angles Of Approach

Methods guaranteeing human rights discussed at Beijing forum The Sixth Beijing Forum on Human Rights was held on September 12 and 13 with the theme being"construction of an environment for sustainable human rights development."The forum attracted more than100officialsandhumanrightsexpertsfromthe United Nations and 33 countries and regions.

Smooth tracking control for conversion mode of a tilt-rotor aircraft with switching modeling

This paper investigates the state-tracking control problem in conversion mode of a tilt-rotor aircraft with a switching modeling method and a smooth interpolation technique.Based on the nonlinear model of the conversion mode,a switched linear model is developed by using the Jacobian linearization method and designing the switching signal based on the mast angle.Furthermore,an ℋ_(∞) state-tracking control scheme is designed to deal with the conversion mode control issue.Moreover,instead of limiting the amplitude of control inputs,a smooth interpolation method is developed to create bumpless performance.Finally,the XV-15 tilt-rotor aircraft is chosen as a prototype to illustrate the effectiveness of this developed control method.

Acquisition Discount and Valuation Effect of Private M＆As in China

An acquisition discount can reflect not only the liquidity demands for unlisted targets but also the strategic requirements, management efficiencies and capital allocations for the listed bidders.Based on Officer(2007), the authors choose an acquisition approach to generate an acquisition discount for unlisted targets. In China, unlisted firms are sold at a deeper discount than listed firms. The deeper discount mainly depends on the liquidity demand and the characteristics of the bilateral trading components. Larger bidders tend to pay more, whereas smaller targets are sold at lower discounts. The values of unlisted targets in the TMT industry are underestimated. Furthermore, buying out unlisted targets can significantly increase the abnormal return of public bidders during the announcement period.Deeper discounts or stock payments have a positive effect on the stock values of the bidders, whereas this positive increase will be weakened if the bidder is large or has a previous ownership relationship.