Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies

Consensus problems of high-order continuous-time multi-agent systems with time-delays and switching topologies are studied. The motivation of this work is to extend second-order continuous-time multi-agent systems from the liter- ature. It is shown that consensus can be reached with arbitrarily bounded time-delays even though the communication topology might not have spanning trees. A numerical example is included to show the theoretical results.

Fuzzy Modeling and Impulsive Control of a Memristor-Based Chaotic System

We mainly investigate the issues of fuzzy modeling and impulsive control of a memristor-based chaotic system and present a memristor-based chaotic system as the Takagi-Sugeno model-based fuzzy system. Then, based on the impulsive control theory of dynamical systems, a criterion ensuring impulsive stabilization of the memristorbased chaotic system is derived for the first time. An illustrative example is given to verify the effectiveness of the control scheme.

Numerical study of three-dimensional free surface dynamics

The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE （Arbitrary Lagrange-Euler） kinematic description is introduced into the control equation system. The ALE description method is used to track free surface. Accurate formulations for calculating the normal vector on the free surface are presented. The discrete numerical equations by finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by a differential geometry method derived in the present paper. The effect of contact angle is incorporated in the numerical algorithm. Furthermore, the numerical computations are performed and the comparison between computational and analytical results validated the effectiveness of the method. The results of this paper provide a fundamental understandings of the dynamics of liquid free surfaces, in which the surface tension and contact angle boundary conditions are taken into account. Finally, numerical simulation of largescale amplitude sloshing of liquid in a cylindrical container is performed and a numerical analysis of the effect of an annular ring-shaped rigid damping baffle on liquid sloshing oscillations in a cylindrical tank is also carried out.

HIGH-FREQUENCY VIBRATIONS OF CORRUGATED CYLINDRICAL PIEZOELECTRIC SHELLS

Coupled extensional and flexural cylindrical vibrations of a corrugated cylindrical piezoelectric shell consisting of multiple pieces of circular cylindrical surfaces smoothly connected along their generatrix are studied. To validate the results for the case of relatively thick shells or equivalently high-frequency modes with short wavelengths, existing analysis is extended by considering shear deformation and rotatory inertia. An analytical solution is obtained. Based on the solution, resonant frequencies and mode shapes are calculated.

Stability of piecewise-linear models of genetic regulatory networks

This paper investigates the stability of the equilibria of the piecewise-linear models of genetic regulatory networks on the intersection of the thresholds of all variables. It first studies circling trajectories and derives some stability conditions by quantitative analysis in the state transition graph. Then it proposes a common Lyapunov function for convergence analysis of the piecewise-linear models and gives a simple sign condition. All the obtained conditions are only related to the constant terms on the right-hand side of the differential equation after bringing the equilibrium to zero.

Rotating consensus of multi-agent systems without relative velocity measurement

We study the rotating consensus of multi-agent systems without the relative velocity measurement in this paper. A new protocol is proposed. Then we use the theory of the complex system combined with the function continuity to derive a condition, under which all agents finally reach the rotating consensus. Finally, a numerical example is provided to illustrate our theoretical results.

DYNAMIC CHARACTERISTICS OF AXIALLY-SYMMETRICAL ANNULAR CORRUGATED SHELL PIEZOELECTRIC TRANSDUCERS

The coupled extensional and flexural vibrations of an annular corrugated shell piezoelectric transducer consisting of multiple circularly-annular surfaces smoothly connected along the interfaces were investigated in the paper. Only a time-harmonic voltage is applied across two electrodes of the piezoelectric shell as the external loading. A theoretical solution was obtained using the classical shell theory. Based on the solution, basic vibration characteristics of resonant frequencies, mode shapes were calculated and examined.

Observer Based Projective Synchronization Method for a Class of Chaotic System-Part I: Linear Synchronization Subsystem

In this three-part paper, an observer based projective synchronization method for a class of chaotic system is proposed. At the transmitter, a general observer is used to create the scalar signal for synchronizing. In this part, the structure of the projective synchronization method is presented. And the condition of projection synchronization is theoretically analyzed when the synchronization subsystem is linear.

Modeling and Doppler measurement of X-ray pulsar

Generally,the Doppler caused by the velocity of the detector leads to distortion of the integrated profile of the X-ray pulsar,on the contrary,if the distortion can be used to measure the Doppler,then the velocity of the detector is easy to be solved.In view of this,the correlation of the periodic error arise from the Doppler and the integrated profile was analyzed,then,based on the Poisson distribution model of the X-ray Pulsar,a new signal model and the concept of the profile entropy was defined.Furthermore,the directly cumulated profile of the signal was modeled with the Doppler as a parameter,and then the Doppler was solved via optimal method.Simultaneously,the performance of phase measurement based on this method was studded.The analysis shows that this method can get rid of the periodic error due to the discrete sampling,and can obtain continuous phase estimation.The experiment verification shows the consistency of the theory and the experiment.

Development of miniature HTSC wide-band filter with open-loop resonators

The strong electric and magnetic coupled novel HTSC (high temperature superconductor) open-loop microstrip resonators are studied in this report and the traditional structure of open-loop resonators is improved. A miniature wide-band HTSC bandpass filter is developed by the novel structure, which is fabricated on YBCO/LaAlO3/YBCO substrate with dimensions of 14.8×9.6 mm2. This filter is tested at 77 K, and the specifications are that the center frequency is 2230 MHz, the bandwidth is 455 MHz, and the best insertion loss is 0.14 dB in passband.

Nonlinear phenomena of three-dimensional liquid sloshing in microgravity environment

The dynamic problem of three-dimen- sional liquid sloshing is numerically studied in this paper. The arbitrary Lagrange-Euler (ALE) kinematic description is introduced into the control equations system. The discrete numerical equations of finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by our dif- ferential geometry method derived. The normal vec- tor on free surface is calculated by using accurate formula presented in this paper. The numerical computations are performed and the comparison not only between numerical results and analytical results but also between numerical results and experimental results validated the effectiveness of the method. Finally, large amplitude sloshing of three-dimensional liquid in low-gravity environment is simulated and some important nonlinear characteristics are ob- tained. From the numerical results, it is concluded that the character of nonlinear sloshing of the liquid under low-gravity environment is much different from that of the liquid sloshing under normal gravity envi- ronment.

Investigation of HTSC digital trunking communication receiver subsystem

The application of HTSC (high temperature superconductor) microwave devices in a UHF digital trunking communication system is introduced.The replacement between the HTSC microwave devices and the normal microwave devices is conducted.The digital sensitivity of the base station in complex electromagnetic environment has been increased to 6 dB,as the results of the experiment indicated,and this means that the coverage radius of the base station has been improved about twice,that is to say,the coverage area can be extended to four times as large as that of the current method.

Determination of inter-satellite relative position using X-ray pulsars

Pulsars are rapidly rotating neutron stars that generate pulsed electromagnetic radiation.A new method for intersatellite relative position determination between a global navigation satellite system(GNSS) and spacecraft using X-ray pulsars is proposed in this paper.The geometric model of this method is formulated,and two different resolution algorithms are introduced and analyzed.The phase cycle ambiguity resolution is investigated,and a new strategy is proposed and formulated.Using the direct vector parameters of the pulsar,geometric dilution of precision(GDOP) is studied.It is shown that this method has advantages of simplicity and efficiency,and is able to eliminate the clock errors.The analytical results are verified numerically via computer simulations.