Modified Projective Synchronization between Different Fractional-Order Systems Based on Open-Plus-Closed-Loop Control and Its Application in Image Encryption | Zendy

Hong-juan Liu | Zendy; Zhiliang Zhu | Zendy; Hai Yu | Zendy; Qian Zhu | Zendy

Open Access

Modified Projective Synchronization between Different Fractional-Order Systems Based on Open-Plus-Closed-Loop Control and Its Application in Image Encryption

Author(s) -

Hong-juan Liu,

Zhiliang Zhu,

Hai Yu,

Qian Zhu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/567898

Subject(s) - encryption , key space , mathematics , synchronization (alternating current) , stability (learning theory) , image (mathematics) , chaotic , sensitivity (control systems) , order (exchange) , control theory (sociology) , algorithm , computer science , control (management) , cryptography , topology (electrical circuits) , artificial intelligence , engineering , finance , combinatorics , machine learning , electronic engineering , economics , operating system

A new general and systematic coupling scheme is developed to achieve the modified projective synchronization (MPS) of different fractional-order systems under parameter mismatch via the Open-Plus-Closed-Loop (OPCL) control. Based on the stability theorem of linear fractional-order systems, some sufficient conditions for MPS are proposed. Two groups of numerical simulations on the incommensurate fraction-order system and commensurate fraction-order system are presented to justify the theoretical analysis. Due to the unpredictability of the scale factors and the use of fractional-order systems, the chaotic data from the MPS is selected to encrypt a plain image to obtain higher security. Simulation results show that our method is efficient with a large key space, high sensitivity to encryption keys, resistance to attack of differential attacks, and statistical analysis

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