FINITE-TIME CHAOS SYNCHRONIZATION OF A NEW HYPERCHAOTIC LORENZ SYSTEM

2013 ◽  
Vol 27 (09) ◽  
pp. 1350033 ◽  
Author(s):  
XINGYUAN WANG ◽  
XULONG GAO ◽  
LULU WANG
Keyword(s):  
Theoretical Analysis ◽  
Finite Time ◽  
Stability Theory ◽  
Chaos Synchronization ◽  
Lorenz System ◽  
Time Stability ◽  
Robust Controller ◽  
Finite Time Stability ◽  
Error System ◽  
Hyperchaotic Lorenz System

This paper deals with the finite-time chaos synchronization of a new hyperchaotic Lorenz system. Based on the finite-time stability theory, a simple and robust controller is proposed to realize finite-time chaos synchronization for the hyperchaotic Lorenz system. Theoretical analysis proved that the scheme can ensure the error system globally finite-time stable. Numerical simulations are provided to show the effectiveness of the proposed schemes.

Adaptive Projective Synchronization of the New Three-Dimensional Chaotic System

2013 ◽  
Vol 321-324 ◽  
pp. 921-924 ◽  
Author(s):  
Su Hai Huang
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Three Dimensional ◽  
Projective Synchronization ◽  
Time Stability ◽  
Finite Time Stability ◽  
Adaptive Technique ◽  
New Chaotic System ◽  
Synchronization Scheme

This paper deals with the finite-time chaos synchronization of the new chaotic system [with uncertain parameters. Based on the finite-time stability theory and adaptive technique, a controller has been designed to realize finite-time chaos projective synchronization and parameter identification. Moreover, numerical simulation result is included to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.

scholarly journals Finite-Time Synchronization of Singular Hybrid Coupled Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Cong Zheng ◽  
Jinde Cao
Keyword(s):  
Finite Time ◽  
Stability Theory ◽  
State Feedback ◽  
Time Synchronization ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Time Stability ◽  
Finite Time Stability ◽  
Coupled Networks

This paper investigates finite-time synchronization of the singular hybrid coupled networks. The singular systems studied in this paper are assumed to be regular and impulse-free. Some sufficient conditions are derived to ensure finite-time synchronization of the singular hybrid coupled networks under a state feedback controller by using finite-time stability theory. A numerical example is finally exploited to show the effectiveness of the obtained results.

scholarly journals Finite-Time Stability Criteria for a Class of High-Order Fractional Cohen–Grossberg Neural Networks with Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zhanying Yang ◽  
Jie Zhang ◽  
Junhao Hu ◽  
Jun Mei
Keyword(s):  
Neural Networks ◽  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Finite Time ◽  
Analytical Techniques ◽  
Stability Criteria ◽  
Time Stability ◽  
Practical Applications ◽  
Finite Time Stability

This paper focuses on a class of delayed fractional Cohen–Grossberg neural networks with the fractional order between 1 and 2. Two kinds of criteria are developed to guarantee the finite-time stability of networks based on some analytical techniques. This method is different from those in some earlier works. Moreover, the obtained criteria are expressed as some algebraic inequalities independent of the Mittag–Leffler functions, and thus, the calculation is relatively simple in both theoretical analysis and practical applications. Finally, the feasibility and validity of obtained results are supported by the analysis of numerical simulations.

Finite-Time Chaos Synchronization of Lorenz Chaotic System Based on the Passive Control Teachnique

2013 ◽  
Vol 385-386 ◽  
pp. 945-950 ◽  
Author(s):  
Yi Feng Wei
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Passive Control ◽  
Control Method ◽  
Control Technique ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lorenz Chaotic System ◽  
Robust To Noise

Finite-time chaos synchronization of Lorenz chaotic system applying the passive control method is investigated in this paper. Based on the finite-time stability theory and the passive control technique, the passive controller are proposed to realize finite-time chaos synchronization of Lorenz chaotic system. The controller is simple and robust to noise. Both theoretical and numerical simulations show the effectiveness of the proposed method.

Finite time stability and comparison principles

1968 ◽  
Vol 64 (3) ◽  
pp. 749-756 ◽  
Author(s):  
A. A. Kayande ◽  
J. S. W. Wong
Keyword(s):  
Differential System ◽  
Finite Time ◽  
Stability Theory ◽  
Sufficient Conditions ◽  
Time Interval ◽  
Differential Inequalities ◽  
Finite Time Interval ◽  
Time Stability ◽  
Comparison Principles ◽  
Finite Time Stability

Motivated by discussion on practical stability in LaSalle and Lefschetz (3), Weiss and Infante (5), have discussed various notions of stability over finite time interval of a given differential system. This theory of stability differs from the usual stability theory mainly by the preassigned limits to which any given solution of the differential system must adhere. Sufficient conditions for these notions of stability are given in (5) in terms of certain Lyapunov-like functions satisfying some appropriate differential inequalities. The purpose of this article is to introduce some complementary notions of finite time stability and weaken the conditions on the differential inequalities involving Lyapunov-like functions by the use of comparison principles.

scholarly journals Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Huaigu Tian ◽  
Zhen Wang ◽  
Peijun Zhang ◽  
Mingshu Chen ◽  
Yang Wang
Keyword(s):  
Numerical Simulation ◽  
Robust Control ◽  
Theoretical Analysis ◽  
Chaotic System ◽  
Finite Time ◽  
Original System ◽  
Slave System ◽  
Hidden Attractor ◽  
Time Stability ◽  
Finite Time Stability

In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation.

Controlling chaos in power system based on finite-time stability theory

2011 ◽  
Vol 20 (12) ◽  
pp. 120501 ◽  
Author(s):  
Hui Zhao ◽  
Ya-Jun Ma ◽  
Si-Jia Liu ◽  
Shi-Gen Gao ◽  
Dan Zhong
Keyword(s):  
Power System ◽  
Finite Time ◽  
Stability Theory ◽  
Time Stability ◽  
Controlling Chaos ◽  
Finite Time Stability
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