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	1. New classes of complete permutation polynomials
	MA Jingxue, ZHANG Tao, DING Baokun, FENG Tao, GE Gennian
	Mathematics 24 May 2016
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (0 B)

	Abstract:In this paper, four classes of monomial complete permutation polynomials and one class of trinomial complete permutation polynomials are presented. In addition, we also give two classes of trinomial permutation polynomials. The first class of monomial complete permutation polynomials is a conjecture proposed by Wu et al. (arXiv:1312.4716).
	TO cite this article:MA Jingxue, ZHANG Tao, DING Baokun, et al. New classes of complete permutation polynomials[OL].[24 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4693433


	2. Optimal H∞ State Estimation for Discrete-Time Delayed Chaotic Systems via a Unified Model
	Meiqin Liu,Senlin Zhang,zhen Fan
	Mathematics 17 May 2011
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	Abstract:This paper is concerned with the problem of state estimation for a class of discrete-time chaotic systems with time delays. A unified model consisting of a linear dynamic system and a bounded static nonlinear operator is employed to describe these systems, such as chaotic neural networks, Chua's circuits, and Hénon map etc. Based on the H∞ performance analysis of this unified model using the linear matrix inequality (LMI) approach, H∞ state estimator are designed for this model with sensors to guarantee the asymptotic stability of the estimation error dynamic systems and to reduce the influence of noise on the estimation error. The parameters of these estimators are obtained by solving the eigenvalue problem (EVP). As most discrete-time chaotic systems with time delays can be transformed into this unified model, H∞ state estimator design for these systems can be done in a unified way. Two numerical examples are exploited to illustrate the effectiveness of the proposed estimator design schemes.
	TO cite this article:Meiqin Liu,Senlin Zhang,zhen Fan. Optimal H∞ State Estimation for Discrete-Time Delayed Chaotic Systems via a Unified Model[OL].[17 May 2011] http://en.paper.edu.cn/en_releasepaper/content/4428191


	3. MiniIB: A Maple package for computing a minimal involutive basis of linear differential system
	Shanqing Zhang,Zhibin Li
	Mathematics 31 May 2004
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	Abstract:A Maple package MiniIB is described, which is an implementation of the algorithm presented by Gerdt for the construction of minimal involutive bases for linear differential ideals. As a straightforward application, the minimal involutive bases of the determining system of classical Lie symmetry for some partial differential equation(s) are computed with package MiniIB.
	TO cite this article:Shanqing Zhang,Zhibin Li. MiniIB: A Maple package for computing a minimal involutive basis of linear differential system [OL].[31 May 2004] http://en.paper.edu.cn/en_releasepaper/content/744

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