On estimating the attainable set for some control objects

2018 ◽  
Author(s):  
Mikhail Sergeevich Nikol'skii
Keyword(s):  
Attainable Set

Attainable set of a $SIR$ epidemiological model with constraints on vaccination and treatment stocks

2020 ◽  
Vol 13 (1) ◽  
pp. 11-22
Author(s):  
A. S. Nazlipinar ◽  
B. Basturk
Keyword(s):  
Epidemiological Model ◽  
Attainable Set

Generic Singularities of the Attainable Set on Surfaces with Boundary

2014 ◽  
Vol 198 (6) ◽  
pp. 835-844
Author(s):  
Hy Duc Manh
Keyword(s):  
Attainable Set ◽  
Generic Singularities

Optimal Non-isothermal Reactor Network for Van de Vusse Reaction

2005 ◽  
Vol 3 (1) ◽  
Author(s):  
Ravindra S Waghmare ◽  
Arun S Moharir
Keyword(s):  
Reaction Scheme ◽  
Global Optimum ◽  
Phase Plane Analysis ◽  
Local Optima ◽  
True Solution ◽  
Attainable Set ◽  
Plane Analysis ◽  
Reactor Networks ◽  
Reaction Constants ◽  
Reactor Network

For complex reactions the optimal reactor networks can involve several reactors operating at various temperature profiles. The often-reported strategy of optimizing parameters of a heuristically predetermined reactor system (Super-structure Approach) falls short of obtaining true solution due to the presence of multiple local optima. Attainable set method gives Global optimum but requires study of each reaction scheme in depth. Here one such study using phase-plane analysis (instead of convexity based analysis) is reported for finding globally optimal non-isothermal reactor network for van de Vusse reaction (A -> B -> C, 2A -> D, objective is to maximize yield of B). Compared to two-reactor networks proposed earlier, it is found that up to 5 reactors (CSTR with/without bypass of feed, Isothermal PFR, Non-isothermal PFR, CSTR, Isothermal PFR) may be required to get the highest yield of the desired intermediate. The proposed method involves only elementary calculus. The detailed solution algorithm has been described using analogy with highways. Three cases with the values of reaction constants reported in the literature have been solved.

scholarly journals On Criteria for Closedness of an Attainable Set of a Discrete Neutral Control System

2002 ◽  
Vol 268 (2) ◽  
pp. 484-497 ◽  
Author(s):  
Jerry Uche Onwuatu
Keyword(s):  
Control System ◽  
Attainable Set

scholarly journals Scale-dependent portfolio effects explain growth inflation and volatility reduction in landscape demography

2017 ◽  
Vol 114 (47) ◽  
pp. 12507-12511 ◽  
Author(s):  
Cang Hui ◽  
Gordon A. Fox ◽  
Jessica Gurevitch
Keyword(s):  
Invasive Species ◽  
Time Series ◽  
Regional Scale ◽  
Scaling Up ◽  
Range Shifts ◽  
Attainable Set ◽  
Local Populations ◽  
Accumulation Curve ◽  
Invasive Organisms ◽  
Regional Population

Population demography is central to fundamental ecology and for predicting range shifts, decline of threatened species, and spread of invasive organisms. There is a mismatch between most demographic work, carried out on few populations and at local scales, and the need to predict dynamics at landscape and regional scales. Inspired by concepts from landscape ecology and Markowitz’s portfolio theory, we develop a landscape portfolio platform to quantify and predict the behavior of multiple populations, scaling up the expectation and variance of the dynamics of an ensemble of populations. We illustrate this framework using a 35-y time series on gypsy moth populations. We demonstrate the demography accumulation curve in which the collective growth of the ensemble depends on the number of local populations included, highlighting a minimum but adequate number of populations for both regional-scale persistence and cross-scale inference. The attainable set of landscape portfolios further suggests tools for regional population management for both threatened and invasive species.

A criterion of closedness of an attainable set of a delay system

1983 ◽  
Vol 3 (4) ◽  
pp. 211-215 ◽  
Author(s):  
Zbigniew Bartosiewicz
Keyword(s):  
Delay System ◽  
Attainable Set

Trajectories and the attainable set of an abstract linear control system

1973 ◽  
Vol 7 (3) ◽  
pp. 265-280
Author(s):  
Zvi Artstein
Keyword(s):  
Control System ◽  
Linear Control System ◽  
Linear Control ◽  
Attainable Set
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