scholarly journals Globally exponential synchronization criterion of chaot-ic oscillators using active control

2017 ◽  
Vol 5 (2) ◽  
pp. 50
Author(s):  
Israr Ahmad ◽  
Sharifa Al Mahrouqi ◽  
Mohammad Shahzad
Keyword(s):  
Numerical Simulation ◽  
Active Control ◽  
Direct Method ◽  
Research Paper ◽  
Exponential Synchronization ◽  
Control Technique ◽  
Lyapunov Direct Method ◽  
External Disturbances ◽  
Chaotic Oscillators ◽  
Simulation Results

This research paper focuses the globally exponential synchronization between two identical and two nonidentical chaotic oscillators. With the help of Lyapunov direct method and using the active control technique, suitable algebraic conditions are obtained analytically that establish the globally exponential synchronization. The proposed globally exponential synchronization criterion is more general and much less conservative than the previously published works. A comparison, based upon the synchronization speed, cost and quality have been performed with our study of the previously published results. The effect of unknown external disturbances has also been discussed. Numerical simulation results are presented to illustrate the performance and efficiency of this study.

scholarly journals Hybrid synchronisation of vallis chaotic systems using nonlinear active control

2018 ◽  
Vol 7 (2.21) ◽  
pp. 50 ◽  
Author(s):  
Piyush Pratap Singh ◽  
Vikash Kumar ◽  
Eshan Tiwari ◽  
Vinay K. Chauhan
Keyword(s):  
Numerical Simulation ◽  
Active Control ◽  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Southern Oscillation ◽  
Lyapunov Stability Theory ◽  
Control Technique ◽  
Control Laws ◽  
Relevant Variables ◽  
Simulation Results

In this paper, hybrid synchronisation of Vallis chaotic systems using a nonlinear control technique is proposed. Vallis system represents the principal quantitative features of the El-Nino Southern Oscillation (ENSO) phenomenon. A nonlinear active control technique is used for hybrid synchronisation. Control laws are designed by using the sum of the relevant variables of the both mater and slave systems. Required Lyapunov stability condition is devised using Lyapunov stability theory. Numerical simulation results reflect the successful achievement of the proposed objectives. MATLAB is used for simulation.  

scholarly journals The Effect of Control Strength on Lag Synchronization of Nonlinear Coupled Complex Networks

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Shuguo Wang ◽  
Hongxing Yao
Keyword(s):  
Numerical Simulation ◽  
Complex Networks ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Pinning Control ◽  
Lyapunov Direct Method ◽  
Lag Synchronization ◽  
Control Strength

This paper mainly investigates the lag synchronization of nonlinear coupled complex networks using methods that are based on pinning control, where the weight configuration matrix is not necessarily symmetric or irreducible. We change the control strength into a parameter concerning timet, by using the Lyapunov direct method, some sufficient conditions of lag synchronization are obtained. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

Design and Simulation of Robust and Adaptive Controls for a Nonlinear String System1

2004 ◽  
Vol 126 (1) ◽  
pp. 54-62
Author(s):  
Weiwei Jin ◽  
Zhihua Qu ◽  
Kuo-Chi Lin
Keyword(s):  
Numerical Simulation ◽  
Vibration Control ◽  
Boundary Control ◽  
Closed Loop ◽  
Direct Method ◽  
Closed Loop System ◽  
Lyapunov Direct Method ◽  
Adaptive Controls ◽  
Control Designs ◽  
Nonlinear String

In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.

Design and Simulation of Robust and Adaptive Controls for a Nonlinear String System

2000 ◽  
Author(s):  
Weiwei Jin ◽  
Zhihua Qu ◽  
Kurt Lin
Keyword(s):  
Numerical Simulation ◽  
Vibration Control ◽  
Boundary Control ◽  
Closed Loop ◽  
Direct Method ◽  
Closed Loop System ◽  
Lyapunov Direct Method ◽  
Adaptive Controls ◽  
Control Designs ◽  
Nonlinear String

Abstract In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.

IMPULSIVE SYNCHRONIZATION AND ITS IMPLEMENTATION IN CHEN–LEE SYSTEMS

2011 ◽  
Vol 25 (29) ◽  
pp. 3893-3903 ◽  
Author(s):  
LAP-MOU TAM ◽  
SENG-KIN LAO ◽  
LONG-JYE SHEU ◽  
HSIEN-KENG CHEN
Keyword(s):  
Numerical Simulation ◽  
Electronic Circuit ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Impulsive Synchronization ◽  
Lyapunov’S Direct Method ◽  
Global Exponential Synchronization ◽  
Theoretical Results

The impulsive synchronization of two chaotic Chen–Lee systems was investigated in this paper. Based on Lyapunov's direct method, sufficient conditions for the global exponential synchronization and global asymptotical synchronization were derived. Further, the theoretical results were verified by a numerical simulation. In addition, the impulsive synchronization of two chaotic Chen–Lee systems was also implemented using an electronic circuit.

scholarly journals Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays

2021 ◽  
Vol 6 (12) ◽  
pp. 14000-14012
Author(s):  
Chen Wang ◽  
◽  
Hai Zhang ◽  
Hongmei Zhang ◽  
Weiwei Zhang ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Neural Networks ◽  
Fractional Order ◽  
Direct Method ◽  
Distributed Delays ◽  
Projective Synchronization ◽  
Lyapunov Direct Method ◽  
Algebraic Criterion ◽  
Inequality Techniques

<abstract><p>This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems, by employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization is derived. The effectiveness of the proposed result is illustrated by the MATLAB toolboxes and numerical simulation.</p></abstract>

Hybrid Projective Synchronization of Different Fractional Order Hyperchaotic Systems

2014 ◽  
Vol 926-930 ◽  
pp. 3046-3049
Author(s):  
Jin Ping Jia ◽  
Fan Di Zhang
Keyword(s):  
Numerical Simulation ◽  
Active Control ◽  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
Order System ◽  
Simulation Results ◽  
Hybrid Projective Synchronization ◽  
The Stability ◽  
Hyperchaotic Systems

This paper investigated hybrid projective synchronization of fractional order hyperchaotic systems with different orders. Based on the idea of active control and the stability theory of linear fractional-order system, we design the effective controller to realize the hybrid projective synchronization. Numerical simulation results which are carried show that the method is easy to implement and reliable for synchronizing the two nonlinear fractional order hyperchaotic systems while it also allows both the systems to remain in hyperchaotic states.

Avalanche Features in Silicon Schottky-FETs in Accordance with Numerical Simulation Results

2006 ◽  
Vol 65 (16) ◽  
pp. 1533-1546
Author(s):  
Yu. Ye. Gordienko ◽  
S. A. Zuev ◽  
V. V. Starostenko ◽  
V. Yu. Tereshchenko ◽  
A. A. Shadrin
Keyword(s):  
Numerical Simulation ◽  
Simulation Results

Active Control Technique Evaluation for Spacecraft (ACES)

1988 ◽  
Author(s):  
R. D. Irwin ◽  
Victoria Jones ◽  
Sally C. Rice ◽  
Sherman M. Seltzer ◽  
Danny K. Tollison
Keyword(s):  
Active Control ◽  
Control Technique ◽  
Technique Evaluation

Tail shapes lead to different propulsive mechanisms in the body/caudal fin undulation of fish

2020 ◽  
pp. 095440622096768
Author(s):  
Jialei Song ◽  
Yong Zhong ◽  
Ruxu Du ◽  
Ling Yin ◽  
Yang Ding
Keyword(s):  
Numerical Simulation ◽  
Aspect Ratio ◽  
High Efficiency ◽  
The Body ◽  
Caudal Fin ◽  
Fish Model ◽  
Swimming Efficiency ◽  
Simulation Results ◽  
Propulsive Mechanism ◽  
High Depth

In this paper, we investigate the hydrodynamics of swimmers with three caudal fins: a round one corresponding to snakehead fish ( Channidae), an indented one corresponding to saithe ( Pollachius virens), and a lunate one corresponding to tuna ( Thunnus thynnus). A direct numerical simulation (DNS) approach with a self-propelled fish model was adopted. The simulation results show that the caudal fin transitions from a pushing/suction combined propulsive mechanism to a suction-dominated propulsive mechanism with increasing aspect ratio ( AR). Interestingly, different from a previous finding that suction-based propulsion leads to high efficiency in animal swimming, this study shows that the utilization of suction-based propulsion by a high- AR caudal fin reduces swimming efficiency. Therefore, the suction-based propulsive mechanism does not necessarily lead to high efficiency, while other factors might play a role. Further analysis shows that the large lateral momentum transferred to the flow due to the high depth of the high- AR caudal fin leads to the lowest efficiency despite the most significant suction.

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