Asymptotic and Finite Time Semistability for Nonlinear Discrete-Time Systems with Application to Network Consensus

Author(s):  
Wassim M. Haddad ◽  
Junsoo Lee ◽  
Sanjay P. Bhat
Automatica ◽  
2021 ◽  
Vol 125 ◽  
pp. 109436
Author(s):  
Khadidja Chaib-Draa ◽  
Ali Zemouche ◽  
Fazia Bedouhene ◽  
Rajesh Rajamani ◽  
Yan Wang ◽  
...  

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Fucheng Liao ◽  
Yingxue Wu ◽  
Xiao Yu ◽  
Jiamei Deng

A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.


1983 ◽  
Vol 37 (4) ◽  
pp. 855-860 ◽  
Author(s):  
WEI-SONG LIN ◽  
TE-SON KUO ◽  
GEORGE J. THALER

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