An exact closed-form formula of collision probability in diverse multiple access communication systems with frame slotted aloha protocol     

Kun-Shu Huang  Chi-Kuang Hwang  Bore-Kuen Lee  In-Hang Chung 《Journal of The Franklin Institute》2017,354(13):5739-5752

For diverse multiple access communication systems based on frame slotted aloha (FSA) protocol, it is important to analyze collision probability for the system performance evaluation. As shown in the literature, for general settings, it is difficult to derive an exact and closed-form solution for collision probability without approximation. Recently, an exact solution based on generic analytical approach (GAA) [31] has been proposed, yet its numerical computation will become difficult when the number of slots is larger than 16. In this paper, we develop an exact closed-form formula (ECFF) for collision probability that can not only overcome the computational deficiency of GAA in the presence of a large number of slots, but also reduce the computation complexity of collision probability. Surprisingly, by introducing a differentiation operator to form a hybrid recursive equation and applying various algebraic properties of Laplace transform and Z transform, the final collision probability can be represented by a compact double summation. Accuracy of the ECFF and comparison with the GAA have been studied by Monte Carlo simulation.  相似文献   

Learning control for linear systems under general data dropouts at both measurement and actuator sides: A Markov chain approach     

Dong Shen  Yanqiong Jin  Yun Xu 《Journal of The Franklin Institute》2017,354(13):5091-5109

This paper contributes to the convergence analysis of iterative learning control for linear systems under general data dropouts at both measurement and actuator sides. By using a simple compensation mechanism for the dropped data, the sample path behavior along the iteration axis is analyzed and formulated as a Markov chain first. Based on the Markov chain, the recursion of the input error is reformulated as a switching system, and then a novel convergence proof is established in the almost sure sense under mild design conditions. Illustrative examples are provided to verify the theoretical results.  相似文献   

Nonlinear trajectory tracking controller for a class of robotic vehicles     

Przemysław Herman  Wojciech Adamski 《Journal of The Franklin Institute》2017,354(13):5145-5161

A global state feedback tracking controller for a class of vehicles, namely marine vehicles, hovercrafts and indoor airships is considered in this paper. The control algorithm uses a velocity transformation of the vehicle equations of motion. It is shown that this algorithm is suitable for control of fully actuated systems and leads to fast response. This property arises from the fact that the dynamical couplings in the vehicle are taken into account in the control gain matrix. A Lyapunov-like function is proposed for the stability analysis of the system under the controller. The algorithms robustness issue is considered too. Numerical simulations are given to illustrate effectiveness of the approach.  相似文献   

Event-based H∞ filtering for discrete-time Markov jump systems with network-induced delay     

Huijiao Wang  Anke Xue  Junhong Wang  Renquan Lu 《Journal of The Franklin Institute》2017,354(14):6170-6189

The problem of event-based H_∞ filtering for discrete-time Markov jump system with network-induced delay is investigated in this paper. For different jumping modes, different event-triggered communication schemes are constructed to choose which output signals should be transmitted. Through the analysis of network-induced delay’s intervals, the discrete-time system, the event-triggered scheme and network-induced delay are unified into a discrete-time Markov jump filter error system with time-delay. Based on time-delay system analysis method, criteria are derived to guarantee the discrete-time Markov jump error system stochastically stable with an H_∞ norm bound. The correspondent filter and the event-based parameters are also given. A numerical example is given to show that the proposed filter design techniques are effective and event-triggered communication scheme can save limited network resources greatly.  相似文献   

Output feedback stabilization of switching discrete-time linear systems with parameter uncertainties     

Hamza Bibi  Fazia Bedouhene  Ali Zemouche  Hamid Reza Karimi  Houria Kheloufi 《Journal of The Franklin Institute》2017,354(14):5895-5918

This paper deals with observer-based control design for a class of switched discrete-time linear systems with parameter uncertainties. The main contribution of the paper is to propose a convenient way based on Finsler’s lemma to enhance the synthesis conditions, expressed in terms of Linear Matrix Inequalities (LMIs). Indeed, this judicious use of Finsler’s lemma provides additional decision variables, which render the LMIs less conservative and more general than all those existing in the literature for the same class of systems. Two numerical examples followed by a Monte Carlo evaluation are proposed to show the superiority of the proposed design technique.  相似文献   

Positive-real systems under lossless transformations: Invariants and reduced order models     

A. Buscarino  L. Fortuna  M. Frasca  M.G. Xibilia 《Journal of The Franklin Institute》2017,354(11):4273-4288

In this paper, positive-real systems under lossless positive-real transformations are investigated. Let G(s) be the transfer function matrix of a continuous-time positive-real system of order n and F(s) a lossless transfer function of order n_F. We prove here that the lossless positive-real transformed system, i.e. G(F(s)), is also positive-real. Furthermore, the stochastic balanced representation of positive-real systems under lossless positive-real transformations is considered. In particular, it is proved that the positive-real characteristic values π_j of G(F(s)) are the same of G(s) each with multiplicity n_F, independently from the choice of F(s). This property is exploited in the design of reduced order models based on stochastic balancing. Finally, the proposed technique is a passivity preserving model order reduction method, since it is proven that the reduced order model of G(F(s)) is still positive-real. An error bound for truncation related to the invariants π_j is also derived.  相似文献   

Finite-time adaptive control for a class of switched stochastic uncertain nonlinear systems     

Zhibao Song  Junyong Zhai 《Journal of The Franklin Institute》2017,354(12):4637-4655

This paper addresses the problem of global finite-time adaptive control for a class of switched stochastic uncertain nonlinear systems under arbitrary switchings. By applying the delicate introduction of coordinate transformations and adding a power integrator technique, an adaptive controller is constructed to guarantee that the system state is regulated to the origin almost surely in a finite time while maintaining the boundedness of the resulting closed-loop systems in probability. Two examples are given to illustrate the effectiveness of the proposed control scheme.  相似文献   

高频作者指数在非英文学术期刊评价中的适用性研究     

张洋  刘诗童  常珍珠 《中国科技期刊研究》2017,28(5):450-459

【目的】 提出比较不同语种期刊学术影响力的新指标——高频作者指数,比较中、俄文图书情报学(LIS)领域的期刊学术影响力。【方法】 以中、俄文不同学科的期刊数据为研究对象,根据期刊作者在Web of Science数据库的发文情况评价期刊,检验新指标在不同学科、不同语种期刊评价中的适用性,以期刊新指标得分、期刊数量等为依据,比较中、俄文LIS领域期刊学术影响力。【结果】 社会科学类期刊的新指标得分比较理想,并且期刊的新指标排名与影响因子排名的相关性较高;中文LIS领域期刊在新指标得分、期刊数量等方面均好于俄文LIS领域期刊。【结论】 高频作者指数目前更适用于评价社会科学类期刊;中文LIS领域期刊的学术影响力高于俄文LIS领域期刊。  相似文献   

医学期刊多通信作者的署名特点及分析     

王丽萍  李立  王卓青 《中国科技期刊研究》2017,28(12):1110-1114

【目的】 国内外医学期刊论文署名多通信作者的情况日益增多,但是学术界对于多通信作者署名的统一要求和规范较少。寻找多通信作者署名特点,探讨其带来的影响,提出规范多通信作者署名的建议。【方法】 通过查阅49篇多通信作者论文,观察整理通信作者的署名位置、标注形式和文字表述等特点。【结果】 多通信作者署名位置不统一,以末2位多见,标注形式和文字表述多种多样,不利于数据库检索、论文管理和科研评价。【结论】 统一、规范多通信作者的署名要求有其必要性,此举有利于数据库设置检索条件,提高科研检索准确性,便于实施科研论文管理和科研评价。  相似文献   

Twin SVM with a reject option through ROC curve     

Dongyun Lin  Lei Sun  Kar-Ann Toh  Jing Bo Zhang  Zhiping Lin 《Journal of The Franklin Institute》2018,355(4):1710-1732

This paper proposes a new method which embeds a reject option in twin support vector machine (RO-TWSVM) through the Receiver Operating Characteristic (ROC) curve for binary classification. The proposed RO-TWSVM enhances the classification robustness through inclusion of an effective rejection rule for potentially misclassified samples. The method is formulated based on a cost-sensitive framework which follows the principle of minimization of the expected cost of classification. Extensive experiments are conducted on synthetic and real-world data sets to compare the proposed RO-TWSVM with the original TWSVM without a reject option (TWSVM-without-RO) and the existing SVM with a reject option (RO-SVM). The experimental results demonstrate that our RO-TWSVM significantly outperforms TWSVM-without-RO, and in general, performs better than RO-SVM.  相似文献