Multi-switching Dual Combination Synchronization of Time Delay Dynamical Systems for Fully Unknown Parameters via Adaptive Control

AbstractThe objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems. The sufficient conditions for achieving anti–synchronization are derived by using the Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. Theoretical analysis and numerical simulations are shown to verify the results.

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Direct Adaptive Control of Nonnegative and Compartmental Dynamical Systems with Time Delay

Biology and Control Theory: Current Challenges - Lecture Notes in Control and Information Sciences ◽

10.1007/978-3-540-71988-5_12 ◽

2007 ◽

pp. 291-316 ◽

Cited By ~ 1

Author(s):

Vijay Sekhar Chellaboina ◽

Wassim M. Haddad ◽

Jayanthy Ramakrishnan ◽

Qing Hui

Keyword(s):

Adaptive Control ◽

Time Delay ◽

Dynamical Systems ◽

Direct Adaptive Control

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Adaptive control of time-delay cascade systems with unknown parameters by partial state feedback

Automatica ◽

10.1016/j.automatica.2018.04.007 ◽

2018 ◽

Vol 94 ◽

pp. 45-54 ◽

Cited By ~ 4

Author(s):

Xu Zhang ◽

Wei Lin ◽

Yan Lin

Keyword(s):

Adaptive Control ◽

Time Delay ◽

State Feedback ◽

Unknown Parameters ◽

Cascade Systems ◽

Partial State

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Adaptive control to synchronize and anti-synchronize two identical time delay Bhalekar-Gejji chaotic systems with unknown parameters

International Journal of Automation and Control ◽

10.1504/ijaac.2015.070957 ◽

2015 ◽

Vol 9 (3) ◽

pp. 211 ◽

Cited By ~ 4

Author(s):

Mohammad Shahzad ◽

Azizan Bin Saaban ◽

Adyda Binti Ibrahim ◽

Israr Ahmad

Keyword(s):

Adaptive Control ◽

Time Delay ◽

Chaotic Systems ◽

Unknown Parameters

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Hybrid projective combination–combination synchronization in non-identical hyperchaotic systems using adaptive control

Arabian Journal of Mathematics ◽

10.1007/s40065-020-00279-w ◽

2020 ◽

Vol 9 (3) ◽

pp. 597-611

Author(s):

Ayub Khan ◽

Harindri Chaudhary

Keyword(s):

Adaptive Control ◽

Secure Communication ◽

Chaos Control ◽

Control Method ◽

Lyapunov Stability Theory ◽

Projective Synchronization ◽

Unknown Parameters ◽

Combination Synchronization ◽

Synchronization Scheme ◽

Hyperchaotic Systems

Abstract In this paper, we investigate a hybrid projective combination–combination synchronization scheme among four non-identical hyperchaotic systems via adaptive control method. Based on Lyapunov stability theory, the considered approach identifies the unknown parameters and determines the asymptotic stability globally. It is observed that various synchronization techniques, for instance, chaos control problem, combination synchronization, projective synchronization, etc. turn into particular cases of combination–combination synchronization. The proposed scheme is applicable to secure communication and information processing. Finally, numerical simulations are performed to demonstrate the effectivity and correctness of the considered technique by using MATLAB.

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