scholarly journals Almost global asymptotic stability of a grid-connected synchronous generator

2018 ◽  
Vol 30 (2) ◽  
Author(s):  
Vivek Natarajan ◽  
George Weiss
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Synchronous Generator

scholarly journals Multi-machine system "Synchronous generator - steam turbine"

2020 ◽  
Vol 78 (4) ◽  
pp. 338-344
Keyword(s):  
Dynamical Systems ◽  
Asymptotic Stability ◽  
Mathematical Models ◽  
Global Asymptotic Stability ◽  
Nonlinear Differential Equations ◽  
Synchronous Generator ◽  
Emergency Situations ◽  
Stability Of Dynamical Systems ◽  
Cylindrical Phase ◽  
Phase Systems

In this article, we will consider the problems of controlling multidimensional phase systems described by nonlinear differential equations. These mathematical models describe processes in complex systems consisting of many turbines and generators and are used for their analysis. The relevance of these models lies in the fact that they allow simulating different pre-emergency, emergency, and post-emergency situations. The controllability of the model under consideration is determined by studying the global asymptotic stability of dynamical systems in cylindrical phase systems. The results obtained are demonstrated by a numerical example.

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.

scholarly journals On Global Asymptotic Stability for the LSW Model with Subcritical Initial Data

2019 ◽  
Vol 178 (1) ◽  
pp. 117-177
Author(s):  
Joseph G. Conlon ◽  
Michael Dabkowski
Keyword(s):  
Asymptotic Stability ◽  
Initial Data ◽  
Global Asymptotic Stability
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