Zero dynamics normal form and disturbance decoupling of commensurate and distributed time-delay systems

Automatica ◽  
2021 ◽  
Vol 129 ◽  
pp. 109634
Author(s):  
Francisco Javier Bejarano
Keyword(s):  
Time Delay ◽  
Normal Form ◽  
Delay Systems ◽  
Zero Dynamics ◽  
Time Delay Systems ◽  
Disturbance Decoupling ◽  
Distributed Time Delay

Transformation of Time-Delay Systems to a Form with Zero Dynamics

2018 ◽  
Vol 97 (3) ◽  
pp. 203-206 ◽  
Author(s):  
A. V. Il’in ◽  
E. I. Atamas’ ◽  
V. V. Fomichev
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Zero Dynamics ◽  
Time Delay Systems

Disturbance Decoupling of Time Delay Systems

2015 ◽  
Vol 18 (3) ◽  
pp. 1130-1134 ◽  
Author(s):  
A. Kaldmäe ◽  
C. H. Moog
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Disturbance Decoupling

scholarly journals Delay-Dependent Stability of Uncertain Distributed Time-Delay Systems

2012 ◽  
Vol 6-7 ◽  
pp. 45-48
Author(s):  
Cheng Wang ◽  
Qing Zhang ◽  
Jian Ping Gan
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Distributed Time Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the problem of stability analysis of uncertain distributed time-delay systems is investigated. Systems with norm-bounded parameter uncertainties are considered. By taking suitable Lyapunov-Krasovskii functional and free weighting matrices, a delay-dependent sufficient condition is derived in terms of linear matrix inequality (LMI). The condition obtained in this paper can be tested numerically very efficiently using interior point algorithms.

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