Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with general sampling delay

In this paper we provide a unified framework for consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with a general sampling delay. First, a stochastic bounded consensus tracking protocol based on sampled data with a general sampling delay is presented by employing the delay decomposition technique. Then, necessary and sufficient conditions are derived for guaranteeing leader-follower multi-agent systems with measurement noises and a time-varying reference state to achieve mean square bounded consensus tracking. The obtained results cover no sampling delay, a small sampling delay and a large sampling delay as three special cases. Last, simulations are provided to demonstrate the effectiveness of the theoretical results.

BOUNDEDNESS OF RIESZ POTENTIALS IN NONHOMOGENEOUS SPACES

For a class of linear operators including Riesz potentials on R^d with a nonnegative Radon measure μ, which only satisfies some growth condition, the authors prove that their boundedness in Lebesgue spaces is equivalent to their boundedness in the Hardy space or certain weak type endpoint estimates, respectively. As an application, the authors obtain several new end estimates.

A novel Doppler frequency measurement method based on the closed-loop signal correlation for deep space exploration

In deep space exploration,it is necessary to improve the accuracy of frequency measurement to meet the requirements of precise orbit determination and various scientific studies.A phase detector is one of the key modules that restricts the tracking performance of phase-locked loop(PLL).Based on the phase relationship between adjacent signals in the time domain,a novel phase detector is presented to replace the arctangent phase detector.The new PLL,which is a closed loop signal correlation algorithm,shows good performance in tracking signals with high precision and the tracking accuracy of frequency of1 second integration is close to Cramer-Rao lower bound(CRLB)when setting proper parameters.Actual data processing results further illustrate the excellent performance of the novel PLL.

Best Bounds on Measures of Risk and Probability of Ruin for Alpha Unimodal Random Variables When There Is Limited Moment Information

This paper presents explicit formulae giving tight upper and lower bounds on the expectations of alpha-unimodal random variables having a known range and given set of moments. Such bounds can be useful in ordering of random variables in terms of risk and in PERT analysis where there is only incomplete stochastic information concerning the variables under investigation. Explicit closed form solutions are also given involving alpha-unimodal random variables having a known mean for two particularly important measures of risk—the squared distance or variance, and the absolute deviation. In addition, optimal tight bounds are given for the probability of ruin in the collective risk model when the severity distribution has an alpha-unimodal distribution with known moments.

Modified robust finite-horizon filter for discrete-time systems with parameter uncertainties and missing measurements

A robust finite-horizon Kalman filter is designed for linear discrete-time systems subject to norm-bounded uncertainties in the modeling parameters and missing measurements.The missing measurements were described by a binary switching sequence satisfying a conditional probability distribution,the commonest cases in engineering,such that the expectation of the measurements could be utilized during the iteration process.To consider the uncertainties in the system model,an upperbound for the estimation error covariance was obtained since its real value was unaccessible.Our filter scheme is on the basis of minimizing the obtained upper bound where we refer to the deduction of a classic Kalman filter thus calculation of the derivatives are avoided.Simulations are presented to illustrate the effectiveness of the proposed approach.

BOUNDEDNESS IN TERMS OF TWO MEASURES FOR IMPULSIVE DISCRETE SYSTEMS

This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principle. The result obtained generalizes those in known literatures.

Fuel consumption,vehicle quantities,and total factor inefficiency in China

Scale-controlling and technology-upgrading measures are considered effective for mitigating vehicle exhaust emissions.This study investigated the impacts of fuel consumption and vehicle quantities on the total factor inefficiency in China’s highway transport sector during 2011-2015,based on the Bounded Adjusted Measure Data Envelopment Analysis(BAM-DEA)model combined with natural and managerial disposability scenarios.The results showed that the average global inefficiency(GIE)score of the exhaust emissions(CO,HC,NOx,and PM)was 0.41 under the assumption of natural disposability and 0.23 in the managerial disposability situation.Moreover,the main causes of total factor inefficiency scores from the perspective of natural disposability were road length,fuel consumption,and exhaust emissions,whereas those from a managerial disposability perspective were road length and exhaust emissions.These two results suggested that environmental efficiency can be promoted by increasing the quantities of clean-energy vehicles and high-quality gasoline/diesel consumption.In terms of the spatial distribution of GIE,the scores showed a decreasing trend from China’s northwestern inland regions to its southeastern coastal regions under both natural and managerial disposability.Environmental efficiency in some provinces(such as Yunnan)demonstrated good progress under managerial disposability,but other regions did not(such as Hebei and Ningxia).Thus,each province should choose appropriate strategies regarding vehicle quantities and fuel consumption according to the technical inefficiency scores of differing disposability situations.

Razumikhin Type Boundedness Theorems in Terms of Two Measures for Impulsive Integro-differential Systems

Some new direct criteria of boundedness in terms of two measures for impulsive integro-differential systems with fixed moments of impulse effects are established by Lyapunov functions coupled with Razumikhin techniques.