Application of the direct Lyapunov method for optimum control of a UPFC

2005 ◽  
Author(s):  
V. Azbe ◽  
R. Mihalic
Keyword(s):  
Lyapunov Method ◽  
Direct Lyapunov Method ◽  
Optimum Control

Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system

2020 ◽  
Vol 21 (7-8) ◽  
pp. 749-759
Author(s):  
Rachida Mezhoud ◽  
Khaled Saoudi ◽  
Abderrahmane Zaraï ◽  
Salem Abdelmalek
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Linearization Method ◽  
Direct Lyapunov Method ◽  
Fractional Systems ◽  
Reaction Diffusion Model ◽  
Theoretical Results

AbstractFractional calculus has been shown to improve the dynamics of differential system models and provide a better understanding of their dynamics. This paper considers the time–fractional version of the Degn–Harrison reaction–diffusion model. Sufficient conditions are established for the local and global asymptotic stability of the model by means of invariant rectangles, the fundamental stability theory of fractional systems, the linearization method, and the direct Lyapunov method. Numerical simulation results are used to illustrate the theoretical results.

DC-bus Voltage Control based on Direct Lyapunov Method for a Converter-based Stand-alone DC Micro-grid

2020 ◽  
Vol 187 ◽  
pp. 106451 ◽  
Author(s):  
Arash Abedi ◽  
Behrooz Rezaie ◽  
Alireza Khosravi ◽  
Majid Shahabi
Keyword(s):  
Lyapunov Method ◽  
Voltage Control ◽  
Direct Lyapunov Method ◽  
Micro Grid ◽  
Dc Bus ◽  
Bus Voltage

Estimation of topological entropy via the direct Lyapunov method

Nonlinearity ◽  
2011 ◽  
Vol 24 (7) ◽  
pp. 1937-1959 ◽  
Author(s):  
A Yu Pogromsky ◽  
A S Matveev
Keyword(s):  
Topological Entropy ◽  
Lyapunov Method ◽  
Direct Lyapunov Method
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