Time-controllable combinatorial inner synchronization and outer synchronization of anti-star networks and its application in secure communication

Zhou, Lili; Wang, Chunhua; He, Haizhen; Lin, Yandan

doi:10.1016/j.cnsns.2014.07.006

Cited by 42 publications

(7 citation statements)

References 36 publications

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“…Remark 9. The magnitude of ( )/‖ ( )‖ 2 in the controller ( ) will turn to infinity as ( ) → 0; in order to avoid the occurrence of this phenomenon, we can add a sufficient small positive constant to its denominator in practice [2,29].…”

Section: Remarkmentioning

confidence: 99%

Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Cao

2015

Mathematical Problems in Engineering

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This paper discusses the finite-time stability of chaotic systems with time-varying delay and parameter uncertainties. A new model based on Takagi-Sugeno (T-S) model is proposed for representing chaotic systems. By the new model, finite-time stability of chaotic systems can be converted into stabilization of fuzzy T-S systems with parameter uncertainties. A sufficient condition is given in terms of matrix inequalities, which guarantees the finite-time stability for fuzzy systems can be achieved. Numerical simulations on the chaotic systems are presented to demonstrate the effectiveness of the theoretical results.

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Section: Remarkmentioning

confidence: 99%

Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Cao

2015

Mathematical Problems in Engineering

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“…researchers, mostly due to the fact that some of the phenomena and physical systems can be modeled accurately by complex systems [6]- [8]. The synchronization of such systems has many useful applications to a variety of fields ranging from physics, medicine, information and signal processing to system identification with principal advantages of its use to secure communication in order to achieve higher transmission rates and security [9]- [11].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Inverse Complex Generalized Synchronization and Parameter Identification of Non-Identical Nonlinear Complex Systems Using Adaptive Integral Sliding Mode Control

et al. 2020

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This paper presents the Inverse Complex Generalized Synchronization (ICGS) of non-identical nonlinear complex systems with unknown parameters. Using the philosophy of adaptive integral sliding mode control, an adaptive controller and laws regarding parametric upgradation are designed to realize ICGS and parameter identification of two non-identical chaotic complex systems with respect to a given complex map vector. To employ the control, the error system is transformed into a unique structure containing a nominal part and some unknown terms, which are computed adaptively. Then, the error system is stabilized by using integral sliding mode control. The stabilizing controller for the error system is constructed, which consists of the fractional-order control plus some compensator control. To avoid the chattering phenomenon, smooth continuous compensator control is incorporated instead of traditional discontinuous control. The compensator controller and the adapted law are derived in such a way that the time derivative of a Lyapunov function becomes strictly negative. This scheme is applied to synchronize a Memristor-Based Hyperchaotic Complex (MBHC) Lu system and a Memristor-Based Chaotic Complex (MBCC) Lorenz system, a chaotic complex Chen system and a memristor-based chaotic complex Lorenz system with entirely unknown parameters. The effectiveness and feasibility of the proposed scheme is validated through computer simulation using MATLAB software package.

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“…Chaos is one of the most important achievements of nonlinear science. Its random-like and sensitive initial values make chaos have good potential applications in the elds of random number generation [18][19][20], cryptosystem [21,22], image encryption [23][24][25] and secure communication [26][27][28][29]. In recent years, many new multiwing (or multiscroll) chaotic systems have been discovered and proposed [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

Liu

et al. 2019

Complexity

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By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.

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Time-controllable combinatorial inner synchronization and outer synchronization of anti-star networks and its application in secure communication

Cited by 42 publications

References 36 publications

Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Modeling and Inverse Complex Generalized Synchronization and Parameter Identification of Non-Identical Nonlinear Complex Systems Using Adaptive Integral Sliding Mode Control

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

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