International Journal of Robotics and Control Systems

International Journal of Robotics and Control Systems

Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems

Yazarlar: Giuseppe Fedele

Cilt 2 , Sayı 1 , 2022 , Sayfalar 57-66

Konular:-

DOI:10.31763/ijrcs.v2i1.533

Anahtar Kelimeler:Chaotic systems; Ellipsoids; Invariant sets; LMI

Özet: This paper presents an invariant sets approach for chaos synchronization in a class of master-slave chaotic systems affected by bounded perturbations. The method provides the optimal state-feedback gain in terms of the minimal ellipsoid that guarantees minimum synchronization error bound. The problem of finding the optimal invariant ellipsoid is formulated in terms of a semi-definite programming problem that can be easily solved using various simulation and calculus tools. The effectiveness of the proposed criterion is illustrated by numerical simulations on the synchronization of Chua's systems.


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BibTex
KOPYALA
@article{2022, title={Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems}, volume={2}, number={57–66}, publisher={International Journal of Robotics and Control Systems}, author={Giuseppe Fedele}, year={2022} }
APA
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Giuseppe Fedele. (2022). Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems (Vol. 2). Vol. 2. International Journal of Robotics and Control Systems.
MLA
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Giuseppe Fedele. Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems. no. 57–66, International Journal of Robotics and Control Systems, 2022.