Stability Analysis of Time-Varying Delay Systems Based on Event-Triggered Impulsive Control

2021 ◽  
Vol 10 (01) ◽  
pp. 13-23
Author(s):  
焕南 郑
Keyword(s):  
Stability Analysis ◽  
Impulsive Control ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Event Triggered

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.

scholarly journals Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Hongqian Lu ◽  
Chaoqun Guo ◽  
Yue Hu ◽  
Wuneng Zhou
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Networked Control System ◽  
Time Varying ◽  
Actuator Faults ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
The Stability ◽  
Varying Delay ◽  
Event Triggered

This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.

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