Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach

Automatica ◽  
2010 ◽  
Vol 46 (1) ◽  
pp. 94-100 ◽  
Author(s):  
Mohammad Saleh Tavazoei ◽  
Mohammad Haeri
2012 ◽  
Vol 51 (5) ◽  
pp. 596-608 ◽  
Author(s):  
Laurent Vermeiren ◽  
Antoine Dequidt ◽  
Mohamed Afroun ◽  
Thierry-Marie Guerra

2018 ◽  
Vol 63 (10) ◽  
pp. 3456-3463 ◽  
Author(s):  
Yanzheng Zhu ◽  
Zhixiong Zhong ◽  
Michael V. Basin ◽  
Donghua Zhou

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Fengying Xu ◽  
Daxin Li

A simplified descriptor system approach is proposed for discrete-time systems with delays in terms of linear matrix inequalities. In comparison with the results obtained by combining the descriptor system approach with recently developed bounding technique, our approach can remove the redundant matrix variables while not reducing the conservatism. It is shown that the bounding technique is unnecessary in the derivation of our results. Via the proposed method, delay-dependent results on quadratic cost andH∞performance analysis are also presented.


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