Finite-time Stability Analysis of Linear Time-varying Systems: A Numerical Algorithm

2018 ◽  
Author(s):  
Zhihua Chen ◽  
Yongchun Xie
Keyword(s):  
Stability Analysis ◽  
Numerical Algorithm ◽  
Finite Time ◽  
Linear Time ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Systems

scholarly journals Finite-Time Stability and Stabilization of Switched Linear Time-Varying Systems with Time-Varying Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Lulu Feng ◽  
Ping Zhao
Keyword(s):  
Finite Time ◽  
Linear Time ◽  
Average Dwell Time ◽  
Control Input ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Time Varying Systems ◽  
Varying Delay

This paper deals with the finite-time stability (FTS) of switched linear time-varying (SLTV) systems with time-varying delay. Firstly, based on Lyapunov–Krasovskii functional technique and average dwell time (ADT) approach, a sufficient criterion on FTS for SLTV systems with time-varying delay is obtained. For the SLTV system with delay and control input, based on the criterion, a state feedback controller is designed such that the closed-loop system is finite-time stable (FTS). Finally, an example is employed to illustrate the validity of our results.

scholarly journals Finite-time stability analysis for linear time-varying singular impulsive systems

2011 ◽  
Vol 6 (16) ◽  
pp. 3344-3350
Author(s):  
Zhou Linna ◽  
Yang Chunyu ◽  
Zhang Qingling ◽  
Lai Yingwu
Keyword(s):  
Stability Analysis ◽  
Finite Time ◽  
Linear Time ◽  
Time Varying ◽  
Impulsive Systems ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals Finite-Time Stability Analysis: A Tutorial Survey

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Honglei Xu
Keyword(s):  
Stability Analysis ◽  
Finite Time ◽  
Linear Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Systems ◽  
Stability And Stabilization ◽  
Dynamical System Models ◽  
Stability Results ◽  
Stability Concepts

In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field. After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system models, particularly in the form of linear time-varying systems and impulsive linear systems, are studied. The finite-time stability analysis in a quantitative sense is reviewed, and a variety of stability results including state transition matrix conditions, the piecewise continuous Lyapunov-like function theory, and the converse Lyapunov-like theorem are investigated. Then, robustness and time delay issues are studied. Finally, fundamental finite-time stability results in a qualitative sense are briefly reviewed.

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