An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems

2000 ◽  
Vol 31 (1) ◽  
pp. 55-61 ◽  
Author(s):  
Shengyuan Xu ◽  
Chengwu Yang
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Singular Systems ◽  
Robust Stabilization ◽  
Algebraic Approach ◽  
Robust Stability Analysis ◽  
Uncertain Singular Systems

scholarly journals Improved Results on Robust Stability Analysis and Stabilization for a Class of Uncertain Nonlinear Systems

2010 ◽  
Vol 2010 ◽  
pp. 1-24 ◽  
Author(s):  
Mohamed Moez Belhaouane ◽  
Mohamed Faiez Ghariani ◽  
Hela Belkhiria Ayadi ◽  
Naceur Benhadj Braiek
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Polynomial System ◽  
Robust Stabilization ◽  
Polynomial Systems ◽  
System Stability ◽  
Stability Robustness ◽  
Robust Stability Analysis ◽  
The Stability ◽  
Systems Simulation

This paper deals with the problems of robust stability analysis and robust stabilization for uncertain nonlinear polynomial systems. The combination of a polynomial system stability criterion with an improved robustness measure of uncertain linear systems has allowed the formulation of a new criterion for robustness bound estimation of the studied uncertain polynomial systems. Indeed, the formulated approach is extended to involve the global stabilization of nonlinear polynomial systems with maximization of the stability robustness bound. The proposed method is helpful to improve the existing techniques used in the analysis and control for uncertain polynomial systems. Simulation examples illustrate the potentials of the proposed approach.

Robust Stability Analysis of Interval Fractional-Order Plants with Interval Time delay and General Form of Fractional-Order Controllers

2021 ◽  
pp. 1-1
Author(s):  
Majid Ghorbani ◽  
Mahsan Tavakoli-Kakhki ◽  
Aleksei Tepljakov ◽  
Eduard Petlenkov ◽  
Arash Farnam ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Fractional Order ◽  
Robust Stability ◽  
Interval Time ◽  
Robust Stability Analysis
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