scholarly journals Limit 2-Cycles for a Discrete-Time Bang-Bang Control Model

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Chengmin Hou ◽  
Sui Sun Cheng
Keyword(s):  
Control System ◽  
Discrete Time ◽  
Bifurcation Analysis ◽  
Control Model ◽  
Threshold Parameter ◽  
State Variable ◽  
Periodic Model ◽  
Different Types ◽  
Bang Bang Control ◽  
Time Periodic

A discrete-time periodic model with bang-bang feedback control is investigated. It is shown that each solution tends to one of four different types of limit 2-cycles. Furthermore, the accompanying initial regions for each type of solutions can be determined. When a threshold parameter is introduced in the bang-bang function, our results form a complete bifurcation analysis of our control model. Hence, our model can be used in the design of a control system where the state variable fluctuates between two state values with decaying perturbation.

scholarly journals Host-Parasitoid Model With Intraspecific Competitions

2012 ◽  
Vol 1 (2) ◽  
pp. 105
Author(s):  
Banshidhar Sahoo ◽  
Swarup Poria
Keyword(s):  
Discrete Time ◽  
Bifurcation Analysis ◽  
Complex Dynamics ◽  
Handling Time ◽  
Phase Portraits ◽  
Search Rate ◽  
Reasonable Range ◽  
Different Types ◽  
Oscillatory Coexistence ◽  
Parameter Values

In this paper a discrete-time host-parasitoid model with intraspecific competitions is proposed. Phase portraits are drawn for different types of intraspecific competitions to notice the effects of intraspecific competitions for biologically reasonable range of parameter values. Bifurcation analysis is done with respect to instantaneous search rate as well as handling time for different types of intraspecific competitions. Many forms of complex dynamics such as chaos, periodic windows etc. are observed. The stable coexistence as well as oscillatory coexistence of host and parasitoid are shown under different types of intraspecific competitions. The Hopf point and attractor crises exist for different intraspecific competitions.

Extension of the Dual-rate Control System Independent of the Discrete-time Output Response

2019 ◽  
Vol 139 (8) ◽  
pp. 889-890
Author(s):  
Takao Sato ◽  
Natsuki Kawaguchi ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Discrete Time ◽  
Rate Control ◽  
Output Response

scholarly journals Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems

2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Diagram Method ◽  
State Variable ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

A new modified state variable diagram method is proposed for determination of positive realizations with reduced numbers of delays and without delays of linear discrete-time systems for a given transfer function. Sufficient conditions for the existence of the positive realizations of given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with greater dimension. The proposed methods are demonstrated on a numerical example.

scholarly journals Bifurcation analysis and chaos control in discrete-time modified Leslie–Gower prey harvesting model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Bilal Ajaz ◽  
Umer Saeed ◽  
Qamar Din ◽  
Irfan Ali ◽  
Muhammad Israr Siddiqui
Keyword(s):  
Discrete Time ◽  
Bifurcation Analysis ◽  
Chaos Control

The Control of the Eye's Intrinsic Muscles: A Multivariable Optimum Performance Control System

1968 ◽  
Vol 1 (8) ◽  
pp. T.129-T.132 ◽  
Author(s):  
F. M. Toates
Keyword(s):  
Control System ◽  
Control Systems ◽  
Pupil Diameter ◽  
Control Model ◽  
Point Of View ◽  
Theoretical Point ◽  
Pupil Control ◽  
Performance Control ◽  
A Value ◽  
Intrinsic Muscles

The reciprocal interaction between the accommodation and pupil control systems of the human eye is examined from a theoretical point of view. The system, which is responsible for maintaining pupil diameter at a value which is a compromise between conflicting requirements, is represented by a control model, and is considered in terms of the concept of a performance index.

scholarly journals Bang–bang control model for uncertain switched systems

2015 ◽  
Vol 39 (10-11) ◽  
pp. 2994-3002 ◽  
Author(s):  
Hongyan Yan ◽  
Yuanguo Zhu
Keyword(s):  
Switched Systems ◽  
Control Model ◽  
Bang Bang Control

Research on the Character of a Synchronous Control System with Wireless Data Communication

2010 ◽  
Vol 455 ◽  
pp. 206-210
Author(s):  
Jun Li Liu ◽  
Yan Yan Yan ◽  
G.Q. He
Keyword(s):  
Control System ◽  
Time Delay ◽  
Data Transmission ◽  
Data Communication ◽  
Control Model ◽  
Data Loss ◽  
Wireless Data ◽  
Synchronous Control ◽  
Wireless Data Transmission ◽  
Set Up

It discusses the reasons of the data transmission time delay and packets loss based on the theory of net data transmission. Aimed to the question of the time delay of data transmission and packets loss, the control system models are set up to analyze their influence to the performance of the control system. Based on the synchronous control model analysis with wireless data transmission, a method to control the system is reached with the state prediction when the communication error or data loss appears. It can control constantly when communication errors appear, and also it can get the most error period by numerical analysis.

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