Time filter

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Daqing, China

Northeast Petroleum University is a national key institution of higher learning in the People's Republic of China.The institute was founded in 1960, formerly called Northeast Petroleum Institute. In 1975, it was renamed Daqing Petroleum Institute. In October 1978, the institute was accredited by the State Council with being one of 88 national key universities and colleges. Since February 2000, the institute has been under the jurisdiction of both central and provincial governments, and has been mainly administered by Heilongjiang Province. In June 2000, the provincial government approved the relocation scheme from Anda to Daqing, which was completed in October 2002. The college was renamed Northeast Petroleum University in 2010. Wikipedia.

If a partial differential equation is reduced to an ordinary differential equation in the form u′ (ξ) = G (u, θ1, ..., θm) under the traveling wave transformation, where θ1, ..., θm are parameters, its solutions can be written as an integral form ξ - ξ0 = ∫ frac(d u, G (u, θ1, ..., θm)). Therefore, the key steps are to determine the parameters' scopes and to solve the corresponding integral. When G is related to a polynomial, a mathematical tool named complete discrimination system for polynomial is applied to this problem so that the parameter's scopes can be determined easily. The complete discrimination system for polynomial is a natural generalization of the discrimination △ = b2 - 4 a c of the second degree polynomial a x2 + b x + c. For example, the complete discrimination system for the third degree polynomial F (w) = w3 + d2 w2 + d1 w + d0 is given by △ = - 27 (frac(2 d2 3, 27) + d0 - frac(d1 d2, 3))2 - 4 (d1 - frac(d2 2, 3))3 and D1 = d1 - frac(d2 2, 3). In the paper, we give some new applications of the complete discrimination system for polynomial, that is, we give the classifications of traveling wave solutions to some nonlinear differential equations through solving the corresponding integrals. In finally, as a result, we give a partial answer to a problem on Fan's expansion method. © 2009 Elsevier B.V. All rights reserved.

Dong H.,Harbin Institute of Technology | Dong H.,Northeast Petroleum University | Wang Z.,Tsinghua University | Wang Z.,Brunel University | Gao H.,Harbin Institute of Technology
IEEE Transactions on Industrial Electronics | Year: 2013

This paper is concerned with the distributed H∞ filtering problem for a class of discrete-time Markovian jump nonlinear time-delay systems with deficient statistics of mode transitions. The system measurements are collected through a lossy sensor network subject to randomly occurring quantization errors and randomly occurring packet dropouts. The description of deficient statistics of mode transitions that account for known, unknown, and uncertain transition probabilities is comprehensive. A distributed filter design scheme is outlined by explicitly characterizing the filter gains in terms of some matrix inequalities. Simulation results demonstrate the effectiveness of the proposed filtering scheme. © 1982-2012 IEEE.

Licht S.,George Washington University | Wang B.,George Washington University | Wang B.,Northeast Petroleum University
Chemical Communications | Year: 2010

We report a fundamental change in the understanding of iron oxide thermochemistry, opening a facile, new CO2-free route to iron production. The resultant process can eliminate a major global source of greenhouse gas emission, producing the staple iron in molten media at high rate and low electrolysis energy. © 2010 The Royal Society of Chemistry.

Cheng Y.-J.,Northeast Petroleum University
Computers and Mathematics with Applications | Year: 2011

The classification of all single traveling wave solutions to the Vakhnenko equation and its generalization are obtained by means of the complete discrimination system for the polynomial method. © 2011 Elsevier Ltd. All rights reserved.

Dong H.,Harbin Institute of Technology | Dong H.,Northeast Petroleum University | Wang Z.,Brunel University | Gao H.,Harbin Institute of Technology
IEEE Transactions on Signal Processing | Year: 2010

In this paper, the robust H∞ filtering problem is studied for a class of uncertain nonlinear networked systems with both multiple stochastic time-varying communication delays and multiple packet dropouts. A sequence of random variables, all of which are mutually independent but obey Bernoulli distribution, are introduced to account for the randomly occurred communication delays. The packet dropout phenomenon occurs in a random way and the occurrence probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution in the interval [0 1]. The discrete-time system under consideration is also subject to parameter uncertainties, state-dependent stochastic disturbances and sector-bounded nonlinearities. We aim to design a linear full-order filter such that the estimation error converges to zero exponentially in the mean square while the disturbance rejection attenuation is constrained to a give level by means of the H∞ performance index. Intensive stochastic analysis is carried out to obtain sufficient conditions for ensuring the exponential stability as well as prescribed H∞ performance for the overall filtering error dynamics, in the presence of random delays, random dropouts, nonlinearities, and the parameter uncertainties. These conditions are characterized in terms of the feasibility of a set of linear matrix inequalities (LMIs), and then the explicit expression is given for the desired filter parameters. Simulation results are employed to demonstrate the effectiveness of the proposed filter design technique in this paper. © 2006 IEEE.

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