Input-Output Admissibility Analysis of Continuous Descriptor System With Time-Varying Delay

2021 ◽  
Vol 5 (5) ◽  
pp. 1561-1566
Author(s):  
El Aiss Hicham ◽  
Karina A. Barbosa ◽  
Carlos Rodriguez
Keyword(s):  
Descriptor System ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Varying Delay

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.

scholarly journals Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Zhixiong Zhong ◽  
Guanghui Sun ◽  
Hamid Reza Karimi ◽  
Jianbin Qiu
Keyword(s):  
Stability Analysis ◽  
Original System ◽  
Transformation Method ◽  
Delta Operator ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Operator Systems ◽  
Delta Operator Systems ◽  
Varying Delay

The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.

scholarly journals Input-output linearization of SISO nonlinear time-varying delay systems

2017 ◽  
Vol 50 (1) ◽  
pp. 13300-13305
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Input Output Linearization
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