scholarly journals Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Yuan Tian ◽  
Zhantao Zhang ◽  
Kaibiao Sun
Keyword(s):  
Pest Management ◽  
Control Method ◽  
Impulsive Control ◽  
Integrated Control ◽  
Gompertz Model ◽  
Specific Model ◽  
Environmental Damage ◽  
Damage Level ◽  
The Stability ◽  
Pest Density

An integrated pest management Gompertz model with interval impulsive control is put forward. Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower than the damage level, predators as its natural enemy are released in case pest density is higher than the slightly harmful level and predator density is below its maintainable level. The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system. The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control. The analytical results presented in the work are validated by numerical simulations for a specific model.

scholarly journals Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-18
Author(s):  
Joseph Páez Chávez ◽  
Dirk Jungmann ◽  
Stefan Siegmund
Keyword(s):  
Mathematical Models ◽  
Pest Management ◽  
Pest Control ◽  
Impulsive Control ◽  
Numerical Study ◽  
Control Strategies ◽  
Period Doubling ◽  
Impulsive Differential Equations ◽  
Path Following ◽  
Environmental Damage

The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM). Established in the late 1950s, IPM is a pest management paradigm that involves the combination of different pest control methods in ways that complement one another, so as to reduce excessive use of pesticides and minimize environmental impact. Since the introduction of the IPM concept, a rich set of mathematical models has emerged, and the present work discusses the development in this area in recent years. Furthermore, a comprehensive parametric study of an IPM-based impulsive control scheme is carried out via path-following techniques. The analysis addresses practical questions, such as how to determine the parameter values of the system yielding an optimal pest control, in terms of operation costs and environmental damage. The numerical study concludes with an exploration of the dynamical features of the impulsive model, which reveals the presence of codimension-1 bifurcations of limit cycles, hysteretic effects, and period-doubling cascades, which is a precursor to the onset of chaos.

scholarly journals Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Jie Fang ◽  
Yin Zhang ◽  
Danying Xu ◽  
Junwei Sun
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Control Method ◽  
Impulsive Control ◽  
Lyapunov Stability Theory ◽  
Control Effect ◽  
Coupled Neural Networks ◽  
Impulsive Synchronization ◽  
The Stability ◽  
Delayed Impulses

This paper investigates the impulsive synchronization of time delay coupled neural networks. Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. In addition, a suitable Lyapunov-like function is established to prove the stability of the synchronization system. Numerical simulation examples are introduced to illustrate the effectiveness and feasibility of the main results.

scholarly journals Integrated control performance of drive-by-wire independent drive electric vehicle

2019 ◽  
Vol 10 ◽  
pp. 16
Author(s):  
Ling Yu ◽  
Sunan Yuan
Keyword(s):  
Electric Vehicle ◽  
Control Method ◽  
Reference Model ◽  
Integrated Control ◽  
Vehicle Stability ◽  
Direct Yaw Moment Control ◽  
Yaw Moment Control ◽  
Moment Control ◽  
The Stability ◽  
Yaw Moment

In order to improve the stability and safety of vehicles, it is necessary to control them. In this study, the integrated control method of drive-by-wire independent drive electric vehicle was studied. Firstly, the reference model of electric vehicle was established. Then, an integrated control method of acceleration slip regulation (ARS) and direct yaw moment control (DYC) was designed for controlling the nonlinearity of tyre, and the simulation experiment was carried out under the environment of MATLAB/SIMULINK. The results showed that the vehicle lost its stability when it was uncontrolled; under the control of a single DYC controller, r and β values got some control, but the vehicle stability was still low; under the integrated control of ARS+DYC, the vehicle stability was significantly improved; under the integrated control method, the overshoot, regulation time and steady-state error of the system were all small. Under the simulation of extreme conditions, the integrated control method also showed excellent performance, which suggested the method was reliable. The experimental results suggests the effectiveness of the integrated control method, which makes some contributions to the further research of the integrated control of electric vehicles.

scholarly journals Stability Analysis and Control Optimization of a Prey-Predator Model with Linear Feedback Control

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Yaning Li ◽  
Yan Li ◽  
Yu Liu ◽  
Huidong Cheng
Keyword(s):  
Biological Control ◽  
Pest Management ◽  
Chemical Control ◽  
Control Level ◽  
Specific Model ◽  
Linear Feedback ◽  
Optimization Strategy ◽  
Predator Model ◽  
The Stability ◽  
And Control

The application of pest management involves two thresholds when the chemical control and biological control are adopted, respectively. Our purpose is to provide an appropriate balance between the chemical control and biological control. Therefore, a Smith predator-prey system for integrated pest management is established in this paper. In this model, the intensity of implementation of biological control and chemical control depends linearly on the selected control level (threshold). Firstly, the existence and uniqueness of the order-one periodic solution (i.e., OOPS) are proved by means of the subsequent function method to confirm the feasibility of the biological and chemical control strategy of pest management. Secondly, the stability of system is proved by the limit method of the successor points’ sequences and the analogue of the Poincaré criterion. Moreover, an optimization strategy is formulated to reduce the total cost and obtain the best level of pest control. Finally, the numerical simulation of a specific model is performed.

scholarly journals Bifurcation Analysis and Impulsive Control of Genetic Regulatory Networks with Multi Delays

2019 ◽  
Vol 23 (4) ◽  
pp. 743-748 ◽  
Author(s):  
Feng Liu ◽  
Jie Ren ◽  
Ting Dong ◽  
Shiqi Zheng ◽  
◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Regulatory Network ◽  
Regulatory Networks ◽  
Control Method ◽  
Impulsive Control ◽  
Genetic Regulatory Networks ◽  
Genetic Regulatory Network ◽  
The Stability ◽  
Theoretical Results

In this study, the stability and Hopf bifurcation of a genetic regulatory network with delays are addressed. Some bifurcations may cause network oscillation and induce instability. An impulsive control method is proposed to control the bifurcations. A numerical simulation was performed to demonstrate the effectiveness of the theoretical results.

The Pest Management Model with Impulsive Control

2014 ◽  
Vol 519-520 ◽  
pp. 1299-1304 ◽  
Author(s):  
Yan Song ◽  
Xuejuan Wang ◽  
Wei Jiang
Keyword(s):  
Pest Management ◽  
Control Strategy ◽  
Impulsive Control ◽  
Integrated Control ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Management Model ◽  
Globally Asymptotical Stability ◽  
Pest Eradication ◽  
Floquet Theorem

Based on integrated control strategy with spraying pesticides and releasing natural enemies at different fixed moments, we establish a pest management model with impulsive control. Using Floquet theorem of impulsive differential equations and comparison theorem, we obtain the sufficient conditions of globally asymptotical stability of the pest-eradication periodic solution and permanence of the model.

Sustainability and adaptability of regional development in the conditions of digitalization

2020 ◽  
Vol 19 (9) ◽  
pp. 1550-1613
Author(s):  
O.E. Akimova ◽  
S.K. Volkov ◽  
E.A. Gladkaya ◽  
I.M. Kuzlaeva
Keyword(s):  
Sustainable Development ◽  
Regional Development ◽  
Economic Behavior ◽  
Regional Inequality ◽  
Environmental Damage ◽  
Economic Potential ◽  
Human Welfare ◽  
Long Time ◽  
The Stability ◽  
Smart Technologies

Subject. The article discusses the sustainability of regional economy development, its definition, and the substance of sustainable development. Objectives. We aim at performing a comprehensive analysis of indicators of sustainability and adaptability of regional development in the context of digitalization, formulating a strategy for economic behavior that takes into account the multidimensional nature of regional inequality and is focused on boosting the economic potential of regions. Methods. The study draws on dialectic and systems approaches, general scientific methods of retrospective, situational, economic and statistical, and comparative analysis. Results. The sustainability of the region focuses on improving the human welfare over long time horizon. This happens in three areas, i.e. maximizing the efficiency of resource use; ensuring justice and democracy; minimizing resource consumption and environmental damage. The stability of the region can be assessed by using one parameter, or by combining the parameters in accordance with the type of region and expected results. Conclusions. The adaptation of a region to changing conditions depends on its type (‘adapted’, ‘adaptive’, and ‘non-adapted’). Regional inequality has two main components: difference in economic potential and social satisfaction of residents. Another component, affecting the stability and adaptability of regions, is the level of their digitalization. However, some regions have only formally embarked on the path of digitalization. Moreover, a focus on smart technologies, solutions and digitalization often leads to ignoring the goals of sustainable development. Smart technologies should be aimed at ensuring sustainability within the framework of the smart sustainable city concept.

scholarly journals Stability Control for Electric Vehicles with Four In-Wheel-Motors Based on Sideslip Angle

2021 ◽  
Vol 12 (1) ◽  
pp. 42
Author(s):  
Kun Yang ◽  
Danxiu Dong ◽  
Chao Ma ◽  
Zhaoxian Tian ◽  
Yile Chang ◽  
...  
Keyword(s):  
Electric Vehicles ◽  
Control Method ◽  
Sliding Mode ◽  
Stability Control ◽  
Torque Control ◽  
Wheel Load ◽  
Sideslip Angle ◽  
Distribution Method ◽  
Load Rate ◽  
The Stability

Tire longitudinal forces of electrics vehicle with four in-wheel-motors can be adjusted independently. This provides advantages for its stability control. In this paper, an electric vehicle with four in-wheel-motors is taken as the research object. Considering key factors such as vehicle velocity and road adhesion coefficient, the criterion of vehicle stability is studied, based on phase plane of sideslip angle and sideslip-angle rate. To solve the problem that the sideslip angle of vehicles is difficult to measure, an algorithm for estimating the sideslip angle based on extended Kalman filter is designed. The control method for vehicle yaw moment based on sliding-mode control and the distribution method for wheel driving/braking torque are proposed. The distribution method takes the minimum sum of the square for wheel load rate as the optimization objective. Based on Matlab/Simulink and Carsim, a cosimulation model for the stability control of electric vehicles with four in-wheel-motors is built. The accuracy of the proposed stability criterion, the algorithm for estimating the sideslip angle and the wheel torque control method are verified. The relevant research can provide some reference for the development of the stability control for electric vehicles with four in-wheel-motors.

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