Finite-time stability and controller design for a class of hybrid dynamical systems with deviating argument

2021 ◽  
Vol 39 ◽  
pp. 100952
Author(s):  
Qiang Xi ◽  
Xinzhi Liu
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Controller Design ◽  
Hybrid Dynamical Systems ◽  
Time Stability ◽  
Deviating Argument ◽  
Finite Time Stability

scholarly journals Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems

2009 ◽  
Vol 54 (4) ◽  
pp. 861-865 ◽  
Author(s):  
R. Ambrosino ◽  
F. Calabrese ◽  
C. Cosentino ◽  
G. De Tommasi
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Xiaoxing Chen ◽  
Manfeng Hu
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Fuzzy Systems ◽  
Controller Design ◽  
Semidefinite Program ◽  
Time Stability ◽  
Finite Time Stability ◽  
Polynomial Fuzzy Systems ◽  
Special Cases ◽  
Stability And Stabilization

Finite-time stability and stabilization problem is first investigated for continuous-time polynomial fuzzy systems. The concept of finite-time stability and stabilization is given for polynomial fuzzy systems based on the idea of classical references. A sum-of-squares- (SOS-) based approach is used to obtain the finite-time stability and stabilization conditions, which include some classical results as special cases. The proposed conditions can be solved with the help of powerful Matlab toolbox SOSTOOLS and a semidefinite-program (SDP) solver. Finally, two numerical examples and one practical example are employed to illustrate the validity and effectiveness of the provided conditions.

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