Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control

Wei, Qiang; Wang, Xingyuan; Hu, Xiaopeng

doi:10.1007/s00034-014-9756-y

Cited by 10 publications

(5 citation statements)

References 40 publications

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“…In this section, we will study numerically the synchronization for the original Chua oscillators by applying the theory presented in the previous section. The chaotic synchronization problem has been well-studied under various conditions and some effective approaches have been proposed in recent years (Huang et al, 2012; Huang and Li, 2010; Wang et al, 2010; Wei et al, 2014a,b,c,d,e,f, 2015). As a class of chaotic system, the Chua oscillators intrinsically defy synchronization, because even two identical systems starting from slightly different initial conditions would evolve in time in an unsynchronized manner (the differences in the system states could grow exponentially) (Boccaletti et al, 2002).…”

Section: Linear Sampled-data State-feedback For Synchronizationmentioning

confidence: 99%

Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

Song

Qian

Huang

2016

Transactions of the Institute of Measurement and Control

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In this paper, we investigate the problem of using sampled-data feedback to synchronize a slave (driven) system with a master (driver) system. Based on the domination approach, both state-feedback and output-feedback control methods using sampled-data are proposed to make the tracking error converge to zero. The problem is of practical importance since in practice the system state is transmitted as sampled signal, and very often only the output is measurable. The effectiveness of the proposed approach is illustrated by the simulation for a chaotic Chua oscillator.

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Section: Linear Sampled-data State-feedback For Synchronizationmentioning

confidence: 99%

Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

Song

Qian

Huang

2016

Transactions of the Institute of Measurement and Control

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“…Its objective is to develop an appropriate control law making use of local information for each unit such that states of all units converge to a common value [5]. For example, [6]- [8] studied the state consensus problem of a nonlinear circuit network by using feedback control method. In [9], [10], the authors proposed novel driving approaches to compelling that the states of Chua's circuit system achieve consensus.…”

Section: Introductionmentioning

confidence: 99%

Distributed Optimal State Consensus for Multiple Circuit Systems With Disturbance Rejection

Wang

Dong

2020

IEEE Trans. Netw. Sci. Eng.

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This paper investigates the distributed optimal state consensus problem for an electronic system with a group of circuit units. The dynamics of each unit is modeled by a Chua's circuit in the presence of disturbance generated by an external system. By means of the internal model approach and feedback control, a compensator-based continuous-time algorithm is proposed to minimize the sum of all cost functions associated with each individual unit in a cooperative manner. Supported by convex analysis, graph theory and Lyapunov theory, it is proved that the proposed algorithm is exponentially convergent. Compared with the centralized algorithms, the proposed protocol possesses remarkable superiority in improving scalability and reliability of multiple circuit systems. Moreover, we also study the distributed uncertain optimal state consensus problem and a linear regret bound is obtained in this case. Finally, a state synchronization example is provided to validate the effectiveness of the proposed algorithms.

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“…On the other hand, as a source of instability and deteriorated performance, time-delays often occur in many dynamic systems such as biological systems, chemical processes, communication networks and so on [10,11]. Recently, a new type of time delays, i.e., interval time-varying delays, have been proposed from both theoretical and practical engineering systems, such as networked control systems [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Further improved stability criteria for uncertain T–S fuzzy systems with interval time-varying delay by delay-partitioning approach

et al. 2015

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This paper focuses on further improved stability criteria for uncertain T-S fuzzy systems with interval time-varying delay by a delay-partitioning approach. A modified augmented Lyapunov-Krasovskii functional (LKF) is established by partitioning the delay in all integral terms. Then some tighter bounding inequalities, i.e., Peng-Park׳s integral inequality (reciprocally convex approach) and the Free-Matrix-Based integral inequality (which yields less conservative stability criteria than the use of Wirtinger-based inequality does) are introduced to reduce the enlargement in bounding the derivative of LKF as much as possible, therefore, less conservative results can be expected in terms of es and LMIs. Finally, a numerical example is included to show that the proposed methods are less conservative than existing ones.

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Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control

Cited by 10 publications

References 40 publications

Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

Distributed Optimal State Consensus for Multiple Circuit Systems With Disturbance Rejection

Further improved stability criteria for uncertain T–S fuzzy systems with interval time-varying delay by delay-partitioning approach

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