Banca de DEFESA: JUAN CARLOS GONZALEZ GOMEZ

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : JUAN CARLOS GONZALEZ GOMEZ
DATE: 30/06/2023
TIME: 11:00
LOCAL: Videoconferência
TITLE:

SYNCHRONIZATION OF UNDERACTUATED CHAOTIC SYSTEMS WITH APPLICATIONS TO INFORMATION SECURITY

KEY WORDS:

Chaotic and Hyperchaotic Systems, Lyapunov Methods, Systems Synchronyzation, Underactuated Systems.

PAGES: 242
BIG AREA: Engenharias
AREA: Engenharia Elétrica
SUBÁREA: Eletrônica Industrial, Sistemas e Controles Eletrônicos
SPECIALTY: Automação Eletrônica de Processos Elétricos e Industriais
SUMMARY:

Recently, several studies on the synchronization of chaotic systems have been published. Generally, synchronizers in which control is present in all the state equations of the slave system are widely found in the literature. On the other hand, works on secure communication based on minimal synchronization are very rare. Motivated by the improvement possibilities, this doctoral thesis proposes multiple synchronization schemes for chaotic and hyperchaotic systems, where each system has a different proofing methodology, structure, and encryption and decryption process in secure communication. Consequently, each system has a different contribution. Chapter 3 proposes a projective synchronization and antisynchronization scheme based on underactuated control. The scheme is characterized by guaranteeing the boundedness and convergence of the projective synchronization or antisynchronization errors using the Lyapunov theory. Chapter 4 proposes an underactuated synchronization scheme of a hyperchaotic financial system capable of considering bounded disturbances of any nature. The system design uses Lyapunov theory to ensure that the system is robust. Chapter 5 proposes a synchronizer based on a Liu chaotic system. It uses a signal of an underactuated control based on Lyapunov theory to synchronize all states in the presence of perturbations with bounded errors. It has a convenient structure, in conjunction with a nontrivial Lyapunov candidate, to allow synchronization with only a control signal in the second state equation of the slave system. In Chapter 6 of this thesis, the author proposes a simple synchronization scheme for the Chua circuit, considering perturbations, with proportional control in only one of the state equations of the system. In addition, a secure communication scheme with parallel encryption is shown, in which the dimension of the messages is the same as the dimension of the states. Chapter 7 proposes a robust underactuated synchronization of a hyperchaotic Lorenz system. Furthermore, the proposed scheme is applied in secure telecommunications. Finally, Chapter 8 proposes an underactuated synchronization scheme for a perturbed hyperchaotic system using an alternative Lyapunov proof. The proposed approach is minimal in the way that the synchronizer is simplified to the maximum since the control is scalar and acts in only one state. The proposed schemes in all chapters consider the presence of disturbances in all states in the stability analysis.

BANKING MEMBERS:
Externo à Instituição - BISMARK CLAURE TORRICO - UFC
Externo à Instituição - ELMER ROLANDO LLANOS VILLARREAL - UFERSA
Externo ao Programa - 1399631 - GUILLERMO ALVAREZ BESTARD
Externo à Instituição - JOAO PAULO JAVIDI DA COSTA
Presidente - 1766513 - JOSE ALFREDO RUIZ VARGAS