Stability analysis and controller design of discrete-time polynomial fuzzy time-varying delay systems

2015 ◽  
Vol 352 (12) ◽  
pp. 5661-5685 ◽  
Author(s):  
Yingying Wang ◽  
Huaguang Zhang ◽  
Yingchun Wang ◽  
Jianyu Zhang
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Controller Design ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Observer-Based Robust Control for Switched Stochastic Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Guoxin Chen ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Robust Control ◽  
Stochastic Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Time Varying ◽  
Stochastic Delay ◽  
Time Varying Delay ◽  
Switched Stochastic Systems ◽  
Varying Delay

This paper investigates the problem of observer-based robust control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. Then, performance analysis and observer-based robust controller design for the underlying systems are developed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

scholarly journals Stability Analysis of Time-Varying Delay Systems with an Improved Type of LKF

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Wenhao Wang ◽  
Hong Zhu ◽  
Kaibo Shi ◽  
Shouming Zhong ◽  
Can Zhao
Keyword(s):  
Stability Analysis ◽  
Linear System ◽  
Mathematical Analysis ◽  
Valid Inequalities ◽  
Time Correlation ◽  
Delay Systems ◽  
Time Varying ◽  
Analysis Techniques ◽  
Time Varying Delay ◽  
Varying Delay

This paper further investigates the problem of stability for a general linear system with time-varying delays. Firstly an improved type of Lyapunov–Krasovskii functional is introduced with integral and nonintegral terms and time-correlation terms. Referring a few existing papers, some valid inequalities mathematical analysis techniques are used in this paper in order to reduce the conservatism of the system. Finally, two examples are presented to demonstrate the advantages of the proposed tactics in this paper.

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