scholarly journals Harvest Management Problem with a Fractional Logistic Equation

2021 ◽  
Author(s):  
Melani Barrios ◽  
Gabriela Reyero ◽  
Mabel Tidball
Keyword(s):  
Control Problem ◽  
Numerical Simulations ◽  
Classical Case ◽  
Logistic Equation ◽  
Management Problem ◽  
Harvest Management ◽  
Fractional Control

In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.

Unconstrained and Constrained Control for a Tentacle Manipulator

2004 ◽  
Author(s):  
Mircea Ivanescu
Keyword(s):  
Control Problem ◽  
Numerical Simulations ◽  
Potential Method ◽  
Constrained Control ◽  
Constrained Motion ◽  
Controlled System ◽  
Differential Model

The control problem of the spatial tentacle manipulator is presented. In order to avoid the difficulties generated by the complexity of the nonlinear integral - differential model, the control problem is based by the artificial potential method. It is shown that the control of a tentacle robot to a desired position it is possible if the artificial potential is a potential functional whose point of minimum is attractor of this dissipative controlled system. Then, the method is used for constrained motion in an environment with obstacles. Numerical simulations for spatial and planar tentacle models are presented in order to illustrate the efficiency of the method.

scholarly journals Dynamic Analysis of a Two-Language Competitive Model with Control Strategies

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Lin-Fei Nie ◽  
Zhi-Dong Teng ◽  
Juan J. Nieto ◽  
Il Hyo Jung
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Numerical Simulations ◽  
Control Strategy ◽  
Sufficient Conditions ◽  
Positive Order ◽  
State Dependent ◽  
Competitive Model ◽  
The Impact

The dynamic behavior of a two-language competitive model is analyzed systemically in this paper. By the linearization and the Bendixson-Dulac theorem on dynamical system, some sufficient conditions on the globally asymptotical stability of the trivial equilibria and the existence and the stability of the positive equilibrium of this model are presented. Nextly, in order to protect the endangered language, an optimal control problem relative to this model is explored. We derive some necessary conditions to solve the optimal control problem and present some numerical simulations using a Runge-Kutta fourth-order method. Finally, the languages competitive model is extended to this model assessing the impact of state-dependent pulse control strategy. Using the Poincaré map, differential inequality, and method of qualitative analysis, we prove the existence and stability of positive order-1 periodic solution for this control model. Numerical simulations are carried out to illustrate the main results and the feasibility of state-dependent impulsive control strategy.

Setpoint Tracking Control With Discrete Actuators Using Controller Switching

2018 ◽  
Author(s):  
Y. Chida ◽  
R. Hara
Keyword(s):  
Steady State ◽  
Lyapunov Function ◽  
Control Problem ◽  
Numerical Simulations ◽  
Tracking Control ◽  
Control Structure ◽  
Control Method ◽  
Tracking Errors ◽  
State Tracking ◽  
Servo Controller

In the present paper, we discuss a setpoint tracking control problem for a plant with discrete actuators. When a conventional linear servo controller is applied to the plant, undesirable periodic vibrations similar to the limit cycle occasionally occur in the output response caused by synergy with the integration of the steady-state tracking errors and the quantized errors of the control inputs. To prevent an undesirable response, a novel control method is proposed, in which the controller switches the control structure based on the value of the Lyapunov function. The effectiveness of the proposed method was verified through numerical simulations.

scholarly journals Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 549-558
Author(s):  
Remus-Daniel Ene ◽  
Camelia Pop ◽  
Camelia Petrişor
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Numerical Simulations ◽  
Periodic Solutions ◽  
Nonlinear Stability ◽  
Lie Group ◽  
Asymptotic Method ◽  
Analytic Solutions ◽  
Optimal Homotopy Asymptotic Method

AbstractThe nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are presented, too.

scholarly journals Multiple Dynamic Targets Encirclement Control of Multiagent Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Wenguang Zhang ◽  
Jizhen Liu ◽  
Deliang Zeng
Keyword(s):  
Control Problem ◽  
Numerical Simulations ◽  
Multiagent Systems ◽  
Multiple Targets ◽  
Control Protocol

This paper develops the distributed encirclement control problem of multiagent systems, in which each agent tracks multiple targets, each target can be tracked by one agent, and the numbers of the agents and the targets are the same or not. Firstly, an encirclement control protocol is proposed for multiagent systems, and this protocol contains some estimators. Secondly, some conditions are derived, under which multiagent systems can achieve encirclement control by circular formation. Finally, numerical simulations are provided to illustrate the obtained results.

Proposing a Supply Chain Model for the Production-Distribution of Fuelwood in Greece using Multiobjective Programming

2014 ◽  
pp. 171-180
Author(s):  
Garyfallos Arabatzis ◽  
Konstantinos Petridis ◽  
Periklis Kougoulis
Keyword(s):  
Linear Programming ◽  
Supply Chain ◽  
Supply Chain Management ◽  
Numerical Simulations ◽  
Chain Model ◽  
Optimal Planning ◽  
Management Problem ◽  
Chain Management ◽  
Supply Chain Model ◽  
Production Distribution

The present chapter proposes a Multi-Objective Linear Programming (MOLP) model for the optimal planning of the fuelwood supply chain management problem. The choice of the model was based on the fact that the nature of the problem is dual: economic and environmental. The sensitivity of the model to different demand scenarios is checked by the use of numerical simulations.

scholarly journals The turnpike property in semilinear control

2021 ◽  
Author(s):  
Dario Pighin
Keyword(s):  
Control Problem ◽  
Numerical Simulations ◽  
Time Evolution ◽  
The State ◽  
Turnpike Property

An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary.   Turnpike results are also obtained for large targets, requiring that the control acts everywhere. In this case, we prove the convergence of the infimum of the averaged time-evolution functional towards the steady one.   Numerical simulations are performed.

scholarly journals Permanence and Global Attractivity of a Discrete Logistic Model with Impulses

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Chunyu Gao ◽  
Qingxi Guo
Keyword(s):  
Dynamic System ◽  
Numerical Simulations ◽  
Positive Solutions ◽  
Continuous Time ◽  
Logistic Model ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Euler Method ◽  
Logistic Equation ◽  
Time Dynamic

By piecewise Euler method, we construct a discrete logistic equation with impulses. The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. Sufficient conditions which guarantee the permanence and the global attractivity of positive solutions of the model are obtained. Numerical simulations show the feasibility of the main results.

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