Uniform stability of discrete impulsive systems

2008 ◽  
Vol 39 (2) ◽  
pp. 181-192 ◽  
Author(s):  
Bin Liu ◽  
Xinzhi Liu
Keyword(s):  
Uniform Stability ◽  
Impulsive Systems

scholarly journals Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1186 ◽  
Author(s):  
Bin Liu ◽  
Bo Xu ◽  
Guohua Zhang ◽  
Lisheng Tong
Keyword(s):  
Asymptotic Stability ◽  
Control Theory ◽  
Hybrid Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Uniform Stability ◽  
Impulsive Systems ◽  
Uniform Asymptotic Stability ◽  
Stability Results ◽  
Stability Concepts

This paper aims to review some uniform stability results for impulsive systems. For the review, we classify the models of impulsive systems into time-based impulsive systems and state-based ones, including continuous-time impulsive systems, discrete-time impulsive systems, stochastic impulsive systems, and impulsive hybrid systems. According to these models, we review, respectively, the related stability concepts and some representative results focused on uniform stability, including the results on uniform asymptotic stability, input-to-state stability (ISS), KLL -stability (uniform stability expressed by KLL -functions), event-stability, and event-ISS. And we formulate some questions for those not fully developed aspects on uniform stability at each subsection.

Optimal control of switched impulsive systems with time delay

2013 ◽  
Vol 53 ◽  
pp. 291
Author(s):  
Wan Mei Tang ◽  
Kar Hung Wong
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Impulsive Systems

Exponential stability of impulsive systems with random delays under sampled-data control

2017 ◽  
Vol 11 (16) ◽  
pp. 2834-2847 ◽  
Author(s):  
Kuppusamy Subramanian ◽  
Palanisamy Muthukumar ◽  
Quanxin Zhu
Keyword(s):  
Exponential Stability ◽  
Sampled Data ◽  
Impulsive Systems ◽  
Random Delays ◽  
Data Control ◽  
Sampled Data Control

A Sampling Method and Approximation Results for Impulsive Systems

2007 ◽  
Vol 46 (3) ◽  
pp. 983-998 ◽  
Author(s):  
Peter R. Wolenski ◽  
Stanislav Žabić
Keyword(s):  
Sampling Method ◽  
Impulsive Systems
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