IDENTICAL SYNCHRONIZATION OF CHAOTIC SYSTEMS

2006 ◽  
Vol 16 (03) ◽  
pp. 721-729 ◽  
Author(s):  
MAOYIN CHEN ◽  
DONGHUA ZHOU ◽  
YUN SHANG
Keyword(s):  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Linear Matrix Inequalities ◽  
Chaotic Systems ◽  
Drive System ◽  
Linear Matrix ◽  
Unknown Input ◽  
Matrix Inequalities ◽  
Output Uncertainty ◽  
Unknown Input Observers

We consider the problem of identical synchronization (IS) of chaotic systems in two cases: (i) system uncertainty exists in the drive system, and (ii) output uncertainty exists in the drive system. No matter which case it is, the IS problem can be resolved via the combination of unknown input observers (UIOs) and the linear matrix inequalities (LMIs). Theoretical analysis and numerical simulations verify our main results in this paper.

ROBUST DEAD-BEAT SYNCHRONIZATION AND COMMUNICATION FOR DISCRETE-TIME CHAOTIC SYSTEMS

2002 ◽  
Vol 12 (04) ◽  
pp. 835-846 ◽  
Author(s):  
KUANG-YOW LIAN ◽  
PETER LIU ◽  
CHIAN-SONG CHIU ◽  
TUNG-SHENG CHIANG
Keyword(s):  
Numerical Simulations ◽  
Linear Matrix Inequalities ◽  
Discrete Time ◽  
Chaotic Systems ◽  
Performance Criterion ◽  
Drive System ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Chaotic Communication ◽  
Response System

This paper proposes synchronization and chaotic communication for a class of Lur'e type discrete-time chaotic systems. The scalar outputs are suitably chosen in a flexible manner to be linear, nonlinear, or predictive, and along with the drive system are then written in an output injection form. Then with a suitable design of an observer-based response system, dead-beat performance is achieved for synchronization and chaotic communications. Then disturbances in the drive system are considered. Using an ℋ∞performance criterion, the disturbance is attenuated to a prescribed level by solving linear matrix inequalities (LMIs). Numerical simulations are carried out to verify the dead-beat performance.

IMPULSIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS VIA LINEAR MATRIX INEQUALITIES

2006 ◽  
Vol 16 (01) ◽  
pp. 221-227 ◽  
Author(s):  
Y. JI ◽  
C. Y. WEN ◽  
Z. G. LI
Keyword(s):  
Linear Matrix Inequalities ◽  
Chaotic Systems ◽  
Structural Knowledge ◽  
Linear Matrix ◽  
Secure Communications ◽  
Bandwidth Efficiency ◽  
Matrix Inequalities ◽  
Impulsive Synchronization

Impulsive synchronization of chaotic systems is studied in this paper. By exploring the structural knowledge of the systems and using linear matrix inequalities, some less conservative conditions than existing results are derived. With the new conditions, the bound of intervals for transmitting impulses can be increased and this results in higher bandwidth efficiency. Our results are thus able to improve the efficiencies of the existing technologies on chaotic secure communications and chaotic spread communications.

scholarly journals Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
T. Youssef ◽  
M. Chadli ◽  
H. R. Karimi ◽  
M. Zelmat
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Multiple Integral ◽  
Linear Matrix ◽  
Unknown Input ◽  
Matrix Inequalities ◽  
Decision Variables ◽  
Takagi Sugeno

This paper presents an unknown input Proportional Multiple-Integral Observer (PIO) for synchronization of chaotic systems based on Takagi-Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input withkth derivative zero. Using Lyapunov stability theory, sufficient design conditions for synchronization are proposed. The PIO gains matrices are obtained by resolving linear matrix inequalities (LMIs) constraints. Simulation results show through two TS fuzzy chaotic models the validity of the proposed method.

Passivity of memristive BAM neural networks with leakage and additive time-varying delays

2018 ◽  
Vol 32 (04) ◽  
pp. 1850041 ◽  
Author(s):  
Weiping Wang ◽  
Meiqi Wang ◽  
Xiong Luo ◽  
Lixiang Li ◽  
Wenbing Zhao ◽  
...  
Keyword(s):  
Neural Networks ◽  
Numerical Simulations ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Matrix Inequalities ◽  
Leakage Delays ◽  
Delay Dependent ◽  
Theoretical Results

This paper investigates the passivity of memristive bidirectional associate memory neural networks (MBAMNNs) with leakage and additive time-varying delays. Based on some useful inequalities and appropriate Lyapunov–Krasovskii functionals (LKFs), several delay-dependent conditions for passivity performance are obtained in linear matrix inequalities (LMIs). Moreover, the leakage delays as well as additive delays are considered separately. Finally, numerical simulations are provided to demonstrate the feasibility of the theoretical results.

Robust Electric Power System Controllers Synthesized on the Basis of Linear Matrix Inequalities

2018 ◽  
Vol 10 (10) ◽  
pp. 4-19
Author(s):  
Magomed G. GADZHIYEV ◽  
◽  
Misrikhan Sh. MISRIKHANOV ◽  
Vladimir N. RYABCHENKO ◽  
◽  
...  
Keyword(s):  
Power System ◽  
Electric Power ◽  
Linear Matrix Inequalities ◽  
Electric Power System ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Power System Controllers

A new control approach for a class of linear switched systems with time-varying delay

2021 ◽  
pp. 014233122199272
Author(s):  
Abbas Zabihi Zonouz ◽  
Mohammad Ali Badamchizadeh ◽  
Amir Rikhtehgar Ghiasi
Keyword(s):  
Stability Analysis ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Switching Systems ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Time Varying Delay ◽  
Linear Switching Systems ◽  
The Stability ◽  
Varying Delay

In this paper, a new method for designing controller for linear switching systems with varying delay is presented concerning the Hurwitz-Convex combination. For stability analysis the Lyapunov-Krasovskii function is used. The stability analysis results are given based on the linear matrix inequalities (LMIs), and it is possible to obtain upper delay bound that guarantees the stability of system by solving the linear matrix inequalities. Compared with the other methods, the proposed controller can be used to get a less conservative criterion and ensures the stability of linear switching systems with time-varying delay in which delay has way larger upper bound in comparison with the delay bounds that are considered in other methods. Numerical examples are given to demonstrate the effectiveness of proposed method.

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