Finite-time stability analysis and stabilization by bounded linear time-varying feedback

Automatica ◽  
2020 ◽  
Vol 121 ◽  
pp. 109191 ◽  
Author(s):  
Bin Zhou
Keyword(s):  
Stability Analysis ◽  
Finite Time ◽  
Linear Time ◽  
Time Varying ◽  
Time Stability ◽  
Bounded Linear ◽  
Finite Time Stability

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

Finite-time stability analysis for neutral-type neural networks with hybrid time-varying delays without using Lyapunov method

2017 ◽  
Vol 238 ◽  
pp. 67-75 ◽  
Author(s):  
Mingwen Zheng ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Jinghua Xiao ◽  
Yixian Yang ◽  
...  
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Finite Time ◽  
Lyapunov Method ◽  
Neutral Type ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability

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.

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