Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays

Yang, Meng; Wang, Yan‐Wu; Xiao, Jiang‐Wen; Wang, Hua O.

doi:10.1016/j.nonrwa.2009.10.021

Cited by 61 publications

(22 citation statements)

References 33 publications

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“…[18][19][20][21]). Han et al [18] studied a class of impulsively coupled complex dynamical systems and established several criteria regarding to the eigenvalues and the eigenvectors of the coupling matrix for synchronization of such systems.…”

Section: Introductionmentioning

confidence: 99%

“…Han et al [18] studied a class of impulsively coupled complex dynamical systems and established several criteria regarding to the eigenvalues and the eigenvectors of the coupling matrix for synchronization of such systems. Yang et al studied a class of impulsively coupled complex switched networks and their robust synchronization in terms of parametric uncertainties and time-varying delays in [19]. Jiang and Bi introduced the concept of partial contraction theory of impulsive systems and investigated the synchronization problem of impulsively coupled oscillators in [20].…”

Section: Introductionmentioning

confidence: 99%

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Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators

Jiang

Liu

Zhang

et al. 2016

Communications in Nonlinear Science and Numerical Simulation

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This paper studies the synchronization in two mechanical oscillators coupled by impacts which can be considered as a class of state-dependent impulsively coupled oscillators. The two identical oscillators are harmonically excited in a counter phase, and the synchronous (antiphase synchronization) and the asynchronous motions are considered. One-and two-parameter bifurcations of the system have been studied by varying the amplitude and the frequency of external excitation. Numerical simulations show that the system could exhibit complex phenomena, including symmetry and asymmetry periodic solutions, quasi-periodic solutions and chaotic solutions. In particular, the regimes in anti-phase synchronization are identified, and it is found that the symmetry-breaking bifurcation plays an important role in the transition from synchronous to asynchronous motion.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators

Jiang

Liu

Zhang

et al. 2016

Communications in Nonlinear Science and Numerical Simulation

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“…So, when modeling real-world complex dynamical networks, time delays are necessary to be taken into account. In the past decade, there have been many excellent results concerning synchronization and stability of delayed complex networks [12,16,34,36,[39][40][41]48]. For example, the authors of [12] discussed the stability of delayed impulsive and switching neural networks.…”

mentioning

confidence: 99%

“…In [17], robust exponential stability of impulsive switched systems with switching delays was studied by the Razumikhin approach. However, in most existing results on impulsive switched systems, it is implicitly assumed that impulsive effects occur at the switching points [1,10,12,17,38,40]. Obviously this assumption is conservative and impractical.…”

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confidence: 99%

Synchronization of hybrid impulsive and switching dynamical networks with delayed impulses

Fang

2015

Nonlinear Dyn

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In this paper, the exponential synchronization problem is investigated for a class of hybrid impulsive and switching dynamical networks (HISDNs). Different from the existing results concerning synchronization of HISDNs, impulsive input delays are considered in our model. Moreover, in our model, the impulsive instances and system switching instances do not need to be coincident. By using the Razumikhin theorem and the mathematical induction method, several sufficient synchronization criteria are obtained in terms of linear matrix inequalities. The obtained criteria reveal that the frequency of impulsive occurrence, impulsive input delays, can heavily affect the synchronization performance. Finally, an example is provided to illustrate the effectiveness of the obtained results.

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“…In [14], a kind of impulsively coupled complex dynamical system was introduced and several criteria related to the eigenvalues and eigenvectors of the coupling matrix for synchronizing the impulsively coupled complex dynamical systems were established. In [15], a class of impulsively coupled complex switched networks with parametric uncertainties and time-varying delays was introduced and the robust synchronization of the presented model was studied. On the other hand, networked dynamical systems can achieve synchronization without interacting with each other continuously.…”

mentioning

confidence: 99%

Contraction theory based synchronization analysis of impulsively coupled oscillators

Jiang

2011

Nonlinear Dyn

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Impulsively coupled oscillators which are assumed to interact with each other only at discrete times have many applications in practice. In this paper, we introduce the concept of partial contraction theory of impulsive systems, which is used to investigate the synchronization problem of impulsively coupled oscillators. Contraction analysis of two impulsively coupled oscillators and networked impulsively coupled oscillators is provided, respectively. Very simple but very general results for synchronization of impulsively coupled oscillators are derived. Numerical simulations show the effectiveness of our theoretical results.

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Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays

Cited by 61 publications

References 33 publications

Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators

Anti-phase synchronization and symmetry-breaking bifurcation of impulsively coupled oscillators

Synchronization of hybrid impulsive and switching dynamical networks with delayed impulses

Contraction theory based synchronization analysis of impulsively coupled oscillators

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