The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems

Ge, Zheng–Ming; Yang, Cheng-Hsiung

doi:10.1016/j.chaos.2006.05.090

Cited by 43 publications

(37 citation statements)

References 30 publications

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“…), the drive system and the response system are chaotic systems with different order. The generalized synchronization of the different order chaotic systems has been studied in [7,17]. However, there are few theoretical results about the finite-time generalized synchronization of chaotic systems with different order.…”

Section: Preliminary Definitions and Useful Lemmasmentioning

confidence: 99%

“…So, the study of synchronization for different order chaotic systems is very important to the perspective of control theory and practical application. Some theoretical results for the synchronization between different order chaotic systems have been obtained [12][13][14][15][16][17]. The synchronization is only attained by reduced order, because the order of the response system is lower than that of the drive system in [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…An approach based on the Lyapunov stability theory is given to realize the generalized synchronization of different order chaotic systems in [7]. A special kind of generalized synchronization of different order chaotic systems is realized in [17]. However, the synchronized time has been not considered in the above studies.…”

Section: Introductionmentioning

confidence: 99%

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Finite-time generalized synchronization of chaotic systems with different order

Cai

Jing

2010

Nonlinear Dyn

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In this paper, the generalized synchronization of chaotic systems with different order is studied. The definition of finite-time generalized synchronization is put forward for the first time. Based on the finite-time stability theory, two control strategies are proposed to realize the generalized synchronization of chaotic systems with different order in finite time. Besides the relation between the parameter β, the initial states of systems and the convergent time were obtained. The corresponding numerical simulations are presented to demonstrate the effectiveness of proposed schemes.

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Section: Preliminary Definitions and Useful Lemmasmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite-time generalized synchronization of chaotic systems with different order

Cai

Jing

2010

Nonlinear Dyn

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“…For the last two decades, chaos synchronization has been widely explored in various research fields [1][2][3]. The ever present demand for secure communication is one of the foremost form of motivation for studying chaos synchronization [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

A Research on Active Control to Synchronize a New 3D Chaotic System

Ahmad¹,

Saaban²,

Ibrahim³

et al. 2015

Systems

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This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unknown bounded smooth external disturbance. The proposed active control strategy with a suitable computation of the linear controller gain matrix is simple in design and establishes fast convergence rates of the synchronization error signals. Numerical simulation results further verified the analytical results.

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“…Till now, some investigations on the synchronization between chaotic systems with different dimensions have been published [2,14,[17][18][19][20][21][22][23][24][25]. In References [2,18,[20][21][22][23][24][25], the reduced-order synchronization was investigated, where the slave system with the lower dimension could synchronize with the canonical projection of the master system possessing a higher dimension. References [14,17] and [19] proposed control schemes for both reduced-order synchronization and increased-order synchronization (which indicated that the master system possessed the lower dimension), which broke the restrictions on the dimension relationship of the master and slave systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fuzzy Synchronization for Uncertain Chaotic Systems with Different Dimensions and Disturbances

Zhang

Wang

2015

Int. J. Fuzzy Syst.

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This paper focuses on the design of a novel adaptive fuzzy controller to synchronize the uncertain master-slave chaotic systems with different dimensions. In this paper, completely unknown nonlinear structures and disturbances exist in both the master and slave systems. For such systems, the definition of the generalized linear master-slave synchronization (GLMSS) is proposed. And different from the existing literatures, it is the unknown norm bound function of the uncertain structure to be approximated by the fuzzy logic system. Thus, regardless of the number of the nonlinear functions in the master and slave systems' unknown structures, only two fuzzy logic systems are needed to synthesize the adaptive controller which guarantees the two systems achieving GLMSS. Three numerical examples are given to verify the effectiveness and feasibility of the fuzzy adaptive control scheme in this paper.

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The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems

Cited by 43 publications

References 30 publications

Finite-time generalized synchronization of chaotic systems with different order

Finite-time generalized synchronization of chaotic systems with different order

A Research on Active Control to Synchronize a New 3D Chaotic System

Adaptive Fuzzy Synchronization for Uncertain Chaotic Systems with Different Dimensions and Disturbances

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