Identification and Optimal Control of a Dynamical System via ANN-based Approaches

2021 ◽  
Author(s):  
Yuriy Romasevych ◽  
Viatcheslav Loveikin ◽  
Oleksandr Shevchuk
Keyword(s):  
Dynamical System ◽  
Optimal Control

scholarly journals Dynamical system of the growth of COVID-19 with controller

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Dania Altulea ◽  
Rafida M. Elobaid
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Growth Rate ◽  
Dynamic System ◽  
Unique Solution ◽  
Population Dynamic ◽  
Integral Control ◽  
The Social ◽  
Social Separation ◽  
Strong Control

AbstractRecently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

OPTIMAL CONTROL OF VECTOR-BORNE DISEASE WITH DIRECT TRANSMISSION

2015 ◽  
Vol 76 (13) ◽  
Author(s):  
Nurul Aida Nordin ◽  
Rohanin Ahmad ◽  
Rashidah Ahmad
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Optimal Control Theory ◽  
Existence And Uniqueness ◽  
Blood Donation ◽  
Direct Transmission ◽  
Vector Borne Disease ◽  
Indirect Transmission ◽  
Vector Borne ◽  
Vector Control Strategy

This paper introduces the usage of three controls as a way to reduce the occurrence of vector-borne disease. The governing equation of the dynamical system used in this paper describes both direct and indirect transmission mode of vector-borne disease. This means that the disease can be transmitted in two different ways. First, it can be transmitted through mosquito bites and the other is through human blood transfusion. The three controls that are incorporated in the dynamical system include a measurement of basic practice for blood donation procedure, self-prevention effort and vector control strategy by health authority. The optimality system of the three controls is characterized using optimal control theory and the existence and uniqueness of the optimal control are established. Then, the effect of the incorporation of the three controls is investigated by performing numerical simulation. 

scholarly journals On the use of dynamic state estimation for the optimal control of power system

2020 ◽  
Vol 209 ◽  
pp. 02009
Author(s):  
Alexander Domyshev ◽  
Alexander Tikhonov
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Power System ◽  
State Estimation ◽  
Dynamic State ◽  
Small Frequency ◽  
Large Power ◽  
Real Power ◽  
Scada System ◽  
Dynamic State Estimation

Investigations of the application of classical methods of dynamic state estimation on the data of a real power system for the purposes of optimal control have been carried out. A modern feature of state estimation for a large power system is that data from the SCADA system are fed to the calculation subsystem with a fairly small frequency. It is shown that the use of classical methods of dynamic state estimation for such problems is limited. The study was carried out using the ergodic theory of a dynamical system.

scholarly journals Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture

2009 ◽  
Vol 5 (4) ◽  
pp. 835-850 ◽  
Author(s):  
Chongyang Liu ◽  
◽  
Zhaohua Gong ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Batch Culture ◽  
Fed Batch ◽  
Fed Batch Culture
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