Stability and stabilization of T-S fuzzy time-delay system via relaxed integral inequality and dynamic delay partition

2020 ◽  
pp. 1-1
Author(s):  
Gang Wang ◽  
Liang Jia ◽  
Huaguang Zhang
Keyword(s):  
Time Delay ◽  
Integral Inequality ◽  
Delay System ◽  
Time Delay System ◽  
Stability And Stabilization

scholarly journals H∞ Control of Coronary Artery Input Time-Delay System via the Free-Matrix-Based Integral Inequality

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Sha-sha Li ◽  
Zhan-shan Zhao ◽  
Jing Zhang ◽  
Jie Sun ◽  
Lian-kun Sun
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Integral Inequality ◽  
Controller Design ◽  
Convex Combination ◽  
External Disturbance ◽  
Delay System ◽  
Linear Matrix ◽  
Time Delay System ◽  
Input Time

The issue of H∞ control for the coronary artery input time-delay system with external disturbance is of concern. To further reduce conservation, we utilize the free-matrix-based integral inequality, Wirtinger-based integral inequality, and reciprocal convex combination approach to construct Lyapunov-Krasovskii function (LKF). Then a sufficient condition for controller design which can guarantee robust synchronization the coronary artery system is represented in terms of linear matrix inequality (LMI). Finally, a numerical example is exploited to show the effectiveness of the proposed methods.

The Use of Response Prompting and Frames for Teaching Sentence Writing to Students With Moderate Intellectual Disability

2016 ◽  
Vol 33 (3) ◽  
pp. 142-149 ◽  
Author(s):  
Robert Pennington ◽  
Allison Flick ◽  
Kendra Smith-Wehr
Keyword(s):  
Intellectual Disability ◽  
Time Delay ◽  
Delay System ◽  
Constant Time Delay ◽  
Intervention Package ◽  
Time Delay System ◽  
Moderate Intellectual Disability ◽  
System Of Least Prompts ◽  
Response Prompting ◽  
Multiple Probe

In the current study, we examined the effects of response prompting strategies (i.e., constant time delay, system of least prompts) and frames on sentence writing for three participants, ages 7 to 12, with moderate intellectual disability. We used a concurrent multiple probe across behaviors design to evaluate the efficacy of the intervention package and posttest probes to assess generalized responding to untrained stimulation. During intervention, the teacher taught two students to construct sentences using selection-based software and another to generate handwritten responses across three different writing frames (i.e., I want _________, I see _____, The _____ is ______). Our findings suggest that the package was effective and produced variable levels of maintenance and generalized responding for all three participants.

Stabilizing Gain Regions of PID Controller for Time Delay Systems

2013 ◽  
Vol 313-314 ◽  
pp. 432-437
Author(s):  
Fu Min Peng ◽  
Bin Fang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Pid Controller ◽  
Delay System ◽  
Nyquist Plot ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Frequency Range ◽  
Time Delay System ◽  
Key Points

Based on the inverse Nyquist plot, this paper proposes a method to determine stabilizing gain regions of PID controller for time delay systems. According to the frequency characteristic of the inverse Nyquist plot, it is confirmed that the frequency range is used for stability analysis, and the abscissas of two kind key points are obtained in this range. PID gain is divided into several regions by abscissas of key points. Using an inference and two theorems presented in the paper, the stabilizing PID gain regions are determined by the number of intersections of the inverse Nyquist plot and the vertical line in the frequency range. This method is simple and convenient. It can solve the problem of getting the stabilizing gain regions of PID controller for time delay system.

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