On the use of the method of averaging for the stability analysis of adaptive linear control systems

1987 ◽  
Author(s):  
Robert Kosut
2010 ◽  
Vol 16 (3) ◽  
pp. 258-271 ◽  
Author(s):  
Carlos E. de Souza ◽  
Daniel F. Coutinho ◽  
Minyue Fu

Automatica ◽  
2018 ◽  
Vol 96 ◽  
pp. 186-200 ◽  
Author(s):  
Stefan Heijmans ◽  
Romain Postoyan ◽  
Dragan Nešić ◽  
Navid Noroozi ◽  
Maurice Heemels

2013 ◽  
Vol 10 ◽  
pp. 111-125 ◽  
Author(s):  
S.J.L.M. van Loon ◽  
M.C.F. Donkers ◽  
N. van de Wouw ◽  
W.P.M.H. Heemels

1972 ◽  
Vol 5 (6) ◽  
pp. 238-241 ◽  
Author(s):  
F L N-Nagy ◽  
M N Al-Tikriti

The paper outlines a specially adapted stability criterion for linear control systems with distributed lags. The stability is studied with respect to two variable parameters, ie the loop-gain and the distributed lag. The criterion employs an easily constructed chart prepared beforehand and only requires the plotting of two curves derived from the open-loop transfer function. The stability of a simple control system is investigated to illustrate the scheme.


2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Hong Zhou ◽  
Deqing Huang ◽  
Wu-Sheng Wang ◽  
Jian-Xin Xu

Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the derived results are applied to the stability problem of a class of linear control systems with nonlinear perturbations.


2014 ◽  
Vol 889-890 ◽  
pp. 978-981
Author(s):  
Zong Yi Hou ◽  
Wu Sheng Wang

In this paper, two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the derived results are applied to the stability problem of a class of linear control systems with nonlinear perturbations.


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