The Experts below are selected from a list of 267 Experts worldwide ranked by ideXlab platform
Guang-sheng Chen - One of the best experts on this subject based on the ideXlab platform.
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On a strengthened Hardy-Hilbert type inequality
Journal of Inequalities and Applications, 2013Co-Authors: Di-yi Chen, Guang-sheng Chen, Ti Song, Li-fang LiaoAbstract:We derive a strengthenment of a Hardy-Hilbert type inequality by using the Euler-Maclaurin Expansion for the zeta function and estimating the weight function effectively. As applications, some particular results are presented.
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On a strengthened Hardy-Hilbert’s type inequality
viXra, 2011Co-Authors: Guang-sheng ChenAbstract:In this paper, by using the Euler-Maclaurin Expansion for the zeta function and estimating the weight function effectively, we derive a strengthenment of a Hardy-Hilbert�s type inequality proved by W.Y. Zhong. As applications, some particular results are considered. work.
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On an improvement of the Hardy-Hilbert type inequality
arXiv: General Mathematics, 2011Co-Authors: Guang-sheng ChenAbstract:In this paper, by estimating the weight coefficient effectively, we establish an improvement of a Hardy-Hilbert type inequality proved by B.C. Yang, our main tool is Euler-Maclaurin Expansion for the zeta function. As applications, some particular results are considered
Yang Yuanhui - One of the best experts on this subject based on the ideXlab platform.
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pid design based on Maclaurin Expansion and its model free auto tuning
Control and Decision, 2011Co-Authors: Yang Qiwen, Yang Wailing, Xue Yuncan, Y U Fuxiang, Yang YuanhuiAbstract:A method of auto-tuning for PID controller based on the desired model is presented for the stable plant in this paper. No model of controlled plants is needed by using the proposed method. The tuning of PID controller is formulated by using the Maclaurin Expansion. The model-free auto-tuning of PID controller is implemented during the open loop step response. Simulation results show that the resulting PID controller is capable of enhancing the control performance for high-order plant effectively, and the proposed method has a strong robustness even under noise condition.
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design of integral time absolute error suboptimal time delay system based on Maclaurin Expansion
Control theory & applications, 2011Co-Authors: Yang YuanhuiAbstract:A desired model of ITAE(integral time absolute error) optimal time-delay system is presented based on the canonical form of ITAE optimal system(ITAE-OS). By making use of Maclaurin Expansion, a design method for ITAE suboptimal time-delay system(ITAE-STDS) is discussed. The comparison of the third order ITAE-STDS with ITAE-OS reveals their similar dynamic performance in frequency domain and time domain. Case studies in design of PID and the lead-lag compensator are given. Comparisons of step response, load rejection and parameter robustness show that the resulting systems have satisfactory performance by using the proposed method.
Weidong Zhang - One of the best experts on this subject based on the ideXlab platform.
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Analytical two-degree-of-freedom design method for linear processes with time delay
2006 American Control Conference, 2006Co-Authors: Linlin Ou, Qizhi Zhang, Weidong ZhangAbstract:In this paper, an analytical two-degree-of-freedom control method is proposed for linear systems with time delay, including stable, unstable and nonminimum-phase plants of arbitrary order. The reference models for setpoint response and disturbance response are first presented, respectively, by virtue of dynamical characteristic of the control system and internal stability conditions. Then, the controllers are derived inversely. The resulting ideal controller for disturbance rejection is involved with time delay in a complex manner, and thus, the analytical controller reduction formulas are provided to reproduce it in the PID form by employing the Maclaurin Expansion. This brings much convenience to the controller implementation. Moreover, quantitative performance and robust stability of the control system are discussed. The setpoint response and disturbance response can be separately regulated by tuning the corresponding control parameters. Finally, Simulation examples are included to show the effectiveness of the proposed method
Jian-qiang Hu - One of the best experts on this subject based on the ideXlab platform.
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Analyticity of single-server queues in light traffic
Queueing Systems, 1995Co-Authors: Jian-qiang HuAbstract:Recently, several methods have been proposed to approximate performance measures of queueing systems based on their light traffic derivatives, e.g., the Maclaurin Expansion, the Padé approximation, and interpolation with heavy traffic limits. The key condition required in all these approximations is that the performance measures be analytic when the arrival rates equal to zero. In this paper, we study the GI/G /1 queue. We show that if the c.d.f. of the interarrival time can be expressed as a Maclaurin series over [0, ∞), then the mean steady-state system time of a job is indeed analytic when the arrival rate to the queue equals to zero. This condition is satisfied by phase-type distributions but not c.d.f.'s without support [0, ∞), such as uniform and shifted exponential distributions. In fact, we show through two examples that the analyticity does not hold for most commonly used distribution functions which do not satisfy this condition.
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Differentiability and analyticity of queues in light traffic
Proceedings of 1994 33rd IEEE Conference on Decision and Control, 1994Co-Authors: Jian-qiang HuAbstract:Several methods have been proposed to approximate performance measures of queueing systems based on their light traffic derivatives, e,g., the Maclaurin Expansion, the Pade approximation, and interpolation with heavy traffic limits. To apply these methods, it requires that the performance measures he differentiable and analytic when the arrival rates equal to zero. In this paper, we study these issues for the GI/GI/1 queue. We present conditions under which the mean steady-state system time of a job is differentiable and analytical when the arrival rate to the queue equals to zero.
Dumitru Baleanu - One of the best experts on this subject based on the ideXlab platform.
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Residual power series algorithm for fractional cancer tumor models
alexandria engineering journal, 2020Co-Authors: Zeliha Korpinar, Evren Hincal, Dumitru BaleanuAbstract:Abstract In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin Expansion for the solution. One of the advantages of this method is quick and easy calculation to find series solutions by using mathematica software package. Graphical presentations for series solutions are given to explanation of the method. The obtained outcomes explain that process is applicable and reliable method to obtain numerical solutions of fractional equations.
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A new iterative algorithm on the time-fractional Fisher equation: Residual power series method:
Advances in Mechanical Engineering, 2017Co-Authors: Maysaa Mohamed Al Qurashi, Zeliha Korpinar, Dumitru BaleanuAbstract:In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin Expansion of the solution. The solutions of prese...
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Solutions of the time fractional reaction–diffusion equations with residual power series method
Advances in Mechanical Engineering, 2016Co-Authors: Fairouz Tchier, Zeliha Korpinar, Dumitru BaleanuAbstract:In this article, the residual power series method for solving nonlinear time fractional reaction–diffusion equations is introduced. Residual power series algorithm gets Maclaurin Expansion of the solution. The algorithm is tested on Fitzhugh–Nagumo and generalized Fisher equations with nonlinearity ranging. The solutions of our equation are computed in the form of rapidly convergent series with easily calculable components using Mathematica software package. Reliability of the method is given by graphical consequences, and series solutions are used to illustrate the solution. The found consequences show that the method is a powerful and efficient method in determination of solution of the time fractional reaction–diffusion equations.
