Input-output decoupling of linear time-varying singular systems

1999 ◽  
Vol 44 (5) ◽  
pp. 1016-1021 ◽  
Author(s):  
Xiaoping Liu
Keyword(s):  
Linear Time ◽  
Singular Systems ◽  
Time Varying ◽  
Input Output

Input-output block decoupling of linear time-varying singular systems

2000 ◽  
Vol 45 (2) ◽  
pp. 312-318 ◽  
Author(s):  
Xiaoping Liu ◽  
Xiaohua Wang ◽  
D.W.C. Ho
Keyword(s):  
Linear Time ◽  
Singular Systems ◽  
Time Varying ◽  
Input Output

Minimum order input-output equation for linear time-varying digital filters

1998 ◽  
Vol 5 (7) ◽  
pp. 171-173 ◽  
Author(s):  
Cishen Zhang ◽  
Song Wang ◽  
Yu Fan Zheng
Keyword(s):  
Digital Filters ◽  
Linear Time ◽  
Time Varying ◽  
Input Output ◽  
Minimum Order ◽  
Output Equation

scholarly journals Input–output linearization of non-linear time-varying delay systems: the single-input single-output case

2019 ◽  
Vol 37 (3) ◽  
pp. 831-854
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Stabilization ◽  
Non Linear ◽  
Varying Delay ◽  
Input Output Linearization

Abstract This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

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