Discrete-time stability of hybrid systems modeled by linear impulsive systems

2003 ◽  
Author(s):  
E. Joelianto ◽  
D. Williamson
Keyword(s):  
Hybrid Systems ◽  
Discrete Time ◽  
Impulsive Systems ◽  
Time Stability

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.

Analysis of discrete-time piecewise affine and hybrid systems

Automatica ◽  
2002 ◽  
Vol 38 (12) ◽  
pp. 2139-2146 ◽  
Author(s):  
Giancarlo Ferrari-Trecate ◽  
Francesco Alessandro Cuzzola ◽  
Domenico Mignone ◽  
Manfred Morari
Keyword(s):  
Hybrid Systems ◽  
Discrete Time ◽  
Piecewise Affine
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