A complete stability analysis for planar delta operator systems subject to state saturation

2019 ◽  
Vol 22 (4) ◽  
pp. 1537-1546
Author(s):  
Qing Geng ◽  
Hongjiu Yang ◽  
Yuanqing Xia ◽  
Li Li
Keyword(s):  
Stability Analysis ◽  
Delta Operator ◽  
Operator Systems ◽  
Delta Operator Systems ◽  
State Saturation

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.

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