Computing the stability of iterative optimal control algorithms through the use of two-dimensional system theory

1996 ◽  
Author(s):  
P.D. Roberts
Keyword(s):  
System Theory ◽  
Optimal Control ◽  
Control Algorithms ◽  
Dimensional System ◽  
Two Dimensional ◽  
Optimal Control Algorithms ◽  
Two Dimensional System ◽  
The Stability ◽  
Iterative Optimal Control

On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires

2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Sharad Dwivedi ◽  
Shruti Dubey
Keyword(s):  
Finite Number ◽  
Steady States ◽  
Dimensional System ◽  
Two Dimensional ◽  
Ferromagnetic Nanowires ◽  
Two Dimensional System ◽  
The Stability

AbstractWe investigate the stability features of steady-states of a two-dimensional system of ferromagnetic nanowires. We constitute a system with the finite number of nanowires arranged on the

Aggregation and stability in parasite—host models

Parasitology ◽  
1992 ◽  
Vol 104 (2) ◽  
pp. 199-205 ◽  
Author(s):  
F. R. Adler ◽  
M. Kretzschmar
Keyword(s):  
Equilibrium Distribution ◽  
Empirical Studies ◽  
Dimensional System ◽  
Two Dimensional ◽  
Full System ◽  
Dimensional Approximation ◽  
Approximate System ◽  
The Mean ◽  
Two Dimensional System ◽  
The Stability

SUMMARYThis paper generalizes the two-dimensional approximation of models of macroparasites on homogeneous populations developed by Anderson & May (1978), focusing on how the dispersion (the variance to mean ratio) of the equilibrium distribution of parasites on hosts is related to the stability of the equilibrium. We show in the approximate system that the equilibrium is stabilized not by aggregation, but by dispersion which increases as a function of the mean. Computer simulations indicate, however, that this analysis fails to capture properly the dynamics of the full system, raising the question of whether any two-dimensional system could produce an adequate approximation. We discuss the relevance of our results to several empirical studies which have examined the relation of dispersion to the mean.

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