Chaotic synchronization and fractal interpolation-based image encryption: exploring event-triggered impulsive control in variable-order fractional lur'e systems

被引:4
作者
Priyanka, T. M. C. [1 ]
Udhayakumar, K. [2 ]
Mohanrasu, S. S. [3 ]
Gowrisankar, A. [1 ]
Rakkiyappan, R. [3 ]
机构
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632 014, Tamil Nadu, India
[2] UAE Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
[3] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
关键词
Lur'e system; Chua's circuit; Impulsive synchronization; Fractal interpolation function; Variable-order fractional calculus; Image encryption; MASTER-SLAVE SYNCHRONIZATION; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; COMMUNICATION; STABILITY; DESIGN;
D O I
10.1007/s11042-023-17929-8
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the event-triggered impulsive synchronization of a variable-order fractional chaotic Lur'e system with the application of fractal interpolation based image encryption. The variable-order fractional Lur'e system is modeled into fractional order Chua's circuit model with short memory. The synchronization is achieved using event-triggered impulsive control and short memory for chaotic Lur'e systems, employing linear matrix inequalities. The variable-order fractional Chua's circuit systems successfully accomplish their synchronization using both impulsive and event-triggered impulsive control. Furthermore, fractal interpolation function (with function scalings) is applied to reconstruct the chaotic attractors. The Riemann-Liouville variable-order fractional calculus of diverse fractal functions is also investigated in connection with the study on variable-order fractional systems. The interpolated sequence, along with the Arnold transform, modified Fisher Yates algorithm, and additive diffusion, is utilized to propose an image encryption algorithm. Various statistical analyses are conducted to assess the effectiveness of the proposed algorithm.
引用
收藏
页码:60279 / 60318
页数:40
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