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Numerical Solution for Neutral delay Differential Equation of constant or Proportional Type using Hybrid Block Method

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Advances in Applied Mathematics and Mechanics 2022年第5期14卷 1138-1160页

作者： Nur Inshirah Naqiah Ismail Zanariah Abdul Majid Norazak Senu Institute for Mathematical Research Universiti Putra Malaysia43400 UPM SerdangSelangorMalaysia Department of Mathematics and Statistics Faculty of ScienceUniversiti Putra Malaysia43400 UPM SerdangSelangorMalaysia

Neutral delay Differential Equation(NDDE)is a differential problem that has regularly existed in numerous occurrences and has represented a significant role in dealing with real-life phenomena,especially on their application in biological and physiological processes.A fifth-order two-point hybrid implicit multistep block method(2PIH5)has been formulated in this research for the numerical solution of Neutral delay Differential Equation(NDDE).A Taylor series interpolation polynomial has been implemented in the formulation of the proposed *** order,consistency,and zero-stability for 2PIH5 have been *** analyses of convergence and stability test have been performed and *** initial value problems for the first-order NDDE with constant or proportional delay have been solved using the proposed block *** numerical results for the proposed method have been presented to prove the adaptability and applicability of the proposed method in solving *** proposed method is proved to be comparable with the other existing *** is assumed to be reliable and efficient for solving the first-order NDDE with constant or proportional delay.

关键词： constant delay hybrid method multistep block method neutral delay differential equation proportional delay

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Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equations with constant delays

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Acta Mathematicae Applicatae Sinica 2006年第2期22卷 287-296页

作者： Bing-wen Liu Li-hong Huang Department of Mathematics Hunan University of Arts and Science Changde 415000 China College of Mathematics and Econometrics Hunan University Changsha 410082 China

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays o... 详细信息

关键词： Second Order neutral functional differential equations constant delay Periodic solutions coincidence degree,

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Robust Control of Time delay Systems

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Computer Technology and Application 2012年第1期3卷 69-75页

作者： Farhati Samia Bel Hadj All Naoui Saloua Abdelkrim Mohamed Naceur Modeling Analysis and Control of Systems National Engineering School of Gabes Street lbn E1 Khatab Zrig 6029 Gabes Tunisia

This study presents the design of both H∞ Loop Shaping Control （HLSC） and Internal Model Control （IMC） strategies for linear time delay systems. For first order time delay system, a systematic approach for weight selection based on the sensitivity function was proposed, then compared to the internal model control strategy. For both methods, the synthesis was based on the Pade approximation. Two cases are considered for time delay： upper or lower than system time constant. Simulation results for the proposed approaches are acceptable ever in presence of disturbances and model mismatches.

关键词： H∞ loop shaping control internal model control sensitivity function constant delay Pade approximation model mismatches.

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Networked predictive control of linear switched systems with average dwell time

Networked predictive control of linear switched systems with...

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第32届中国控制与决策会议

作者： Lei Zheng College of Automation Nanjing University of Posts and Telecommunications

This paper studies the networked predictive control problem of linear discrete-time switched systems with delays in both the backward and forward *** improved networked predictive control method is used to control the switching system with average dwell time（ADT）.Multiple Lyapunov function（MLF） method is used,the exponential stability result of the closed-loop networked predictive switched control systems with ADT is proposed.A numerical example is presented to demonstrate the effectiveness of the proposed method.

关键词： networked predictive control switched system average dwell time constant delay multiple Lyapunov function

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