<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, three chaos synchronization approaches using Linear Matrix Inequality (LMI) tools are evaluated and compared. The comparative analysis is supported by four examples of Piecewise affine (PWA) chaotic systems: The Chua’s original circuit, the Chua’s modified system, the Lur’e like circuit and the five-scroll attractor system. To evaluate the performances of each synchronization approach, we examine first, the practical implementation of the LMIs. We analyze then, by simulation results, the feasibility of each approach for each PWA chaotic system. The elapsed time for solving the predefined LMIs and the influence of their tuning parameters’ domain belonging on the feasibility and the performances of each approach are finally the considered comparative criteria.</p></abstract>

In this paper, three chaos synchronization approaches using Linear Matrix Inequality (LMI) tools are evaluated and compared. The comparative analysis is supported by four examples of Piecewise affine (PWA) chaotic systems: The Chua’s original circuit, the Chua’s modified system, the Lur’e like circuit and the five-scroll attractor system. To evaluate the performances of each synchronization approach, we examine first, the practical implementation of the LMIs. We analyze then, by simulation results, the feasibility of each approach for each PWA chaotic system. The elapsed time for solving the predefined LMIs and the influence of their tuning parameters’ domain belonging on the feasibility and the performances of each approach are finally the considered comparative criteria.

Chaos Synchronization via Linear Matrix Inequalities: A Comparative Analysis

International Journal on Smart Sensing and Intelligent Systems

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Chaos Synchronization via Linear Matrix Inequalities: A Comparative Analysis"}

In this paper, three chaos synchronization approaches using Linear Matrix Inequality (LMI) tools are evaluated and compared. The comparative analysis is...

Chaos Synchronization via Linear Matrix Inequalities: A Comparative Analysis

Published Online: Dec 27, 2017

Page range: 553 - 583

Received: Mar 27, 2014

Accepted: Jun 01, 2014

DOI: https://doi.org/10.21307/ijssis-2017-670

Keywords
Chaos synchronization, Linear Matrix Inequalities, Piecewise Affine systems, Lyapunov stability, comparative analysis

© 2014 Hanéne Mkaouar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Chaos Synchronization via Linear Matrix Inequalities: A Comparative Analysis

Published Online: Dec 27, 2017

Page range: 553 - 583

Received: Mar 27, 2014

Accepted: Jun 01, 2014

DOI: https://doi.org/10.21307/ijssis-2017-670

KeywordsChaos synchronization, Linear Matrix Inequalities, Piecewise Affine systems, Lyapunov stability, comparative analysis

© 2014 Hanéne Mkaouar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Chaos synchronization, Linear Matrix Inequalities, Piecewise Affine systems, Lyapunov stability, comparative analysis