Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

Chen, Xiangyong; Huang, Tingwen; Cao, Jinde; Park, Ju H.; Qiu, Jianlong

doi:10.1049/iet-cta.2018.5661

Cited by 63 publications

(17 citation statements)

References 42 publications

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“…For the system (14), using the control method similar to that in (2), one can obtain the following two corollaries:…”

Section: Corollary 3 Suppose Assumption 1 3 Hold and A Is Symmetricmentioning

confidence: 99%

“…where 1 = 2c 2 max (B T B), 2 = 2(l 3 + c 2 + c 1 max (A s )), and > 0 satisfies equation: − a + 1 e 2 = 0, then, the network (14) can achieve the synchronization exponentially.…”

Section: Corollary 3 Suppose Assumption 1 3 Hold and A Is Symmetricmentioning

confidence: 99%

“…[1][2][3] Some complex dynamical networks can synchronize by themselves, but others should be forced to synchronize by adding external controllers. Thus, a lot of control methods such as linear or nonlinear feedback control, [4][5][6][7] adaptive control, [8][9][10][11][12] and sliding-mode control [13][14][15] have been studied extensively and deeply by researchers in various disciplines. Accordingly, these control methods can be continuous, [4][5][6][7][8][9][10][11][12][13][14][15] impulsive, [16][17][18][19] or intermittent [20][21][22][23][24][25][26][27][28][29][30][31][32] during the acquisition of complex network synchronization.…”

Section: Introductionmentioning

confidence: 99%

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Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control

Guo

Luo

2020

Adaptive Control & Signal

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In this article, the synchronization problem for nonlinear hybrid-coupled complex networks with both coupling and internal self-feedback delays is studied. An aperiodically intermittent adaptive control is employed for a fraction of nodes to pin the whole network to the synchronization state. Some sufficient conditions for realizing global synchronization are derived based on Halanay inequality and Lyapunov stability theory. Finally, a simulation example verifies the effectiveness of the proposed control method.

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“…For the system (14), using the control method similar to that in (2), one can obtain the following two corollaries:…”

Section: Corollary 3 Suppose Assumption 1 3 Hold and A Is Symmetricmentioning

confidence: 99%

“…where 1 = 2c 2 max (B T B), 2 = 2(l 3 + c 2 + c 1 max (A s )), and > 0 satisfies equation: − a + 1 e 2 = 0, then, the network (14) can achieve the synchronization exponentially.…”

Section: Corollary 3 Suppose Assumption 1 3 Hold and A Is Symmetricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control

Guo

Luo

2020

Adaptive Control & Signal

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“…A system is called as the chaotic system, provided that it exhibits chaos phenomenon. Due to its powerful potential applications in secure communications, biological systems, information processing, etc., the control of chaotic system has attracted extensive attention of scholars in recent 20 years, and many e cient approaches have been presented for controlling chaos, such as OGY control [1], impulsive control [2], fuzzy control [3,4], sliding mode control [5,6], adaptive control [7,8], composite learning control [9,10], and so on. Nowadays, many papers about controlling chaotic systems have been published.…”

Section: Introductionmentioning

confidence: 99%

A Novel Fast Convergence Control Scheme for a Class of 3D Chaotic Systems with Uncertain Parameters and External Disturbances

Luo

et al. 2020

Complexity

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This paper studies the control of a class of 3D chaotic systems with uncertain parameters and external disturbances. A new method which is referred as the analytical solution approach is firstly proposed for constructing Lyapunov function. Then, for suppressing the trajectories of the 3D chaotic system to its equilibrium point 00,0,0, a novel fast convergence controller containing parameter λ which determines the convergence rate of the system is presented. By using the designed Lyapunov function, the stability of the closed-loop system is proved via the Lyapunov stability theorem. Computer simulations are employed to a new chaotic system to illustrate the effectiveness of the theoretical results.

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“…Based on special antisymmetric structure, Chen et al [20] studied synchronization of N -coupled integer-order chaotic systems via unidirectional coupling. With respect to other recent representative works on this topic, we refer the reader to [21][22][23][24][25] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure

et al. 2019

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This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate controllers to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. By choosing appropriate fractional-order Lyapunov functions and employing the fractional-order Lyapunov-based stability theory, several sufficient conditions are obtained to ensure the asymptotical stabilization of the fractional-order error system at the origin. The proposed method is universal, simple, and theoretically rigorous. Finally, some numerical examples are presented to illustrate the validity of theoretical results.

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Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

Cited by 63 publications

References 42 publications

Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control

Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control

A Novel Fast Convergence Control Scheme for a Class of 3D Chaotic Systems with Uncertain Parameters and External Disturbances

Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure

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