Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses

Wang, Yaqi; Lu, Jianquan; Lou, Jungang; Ding, Chengdan; Alsaadi, Fuad E.; Hayat, Tasawar

doi:10.1007/s11063-017-9735-y

Cited by 10 publications

(5 citation statements)

References 51 publications

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“…Hybrid impulses means that the impulses whose impulsive gains are not changeless and may be different between each node. Namely, the strengths of impulsive effects may be dependent on both the time and state [145]. Thus, compared with the previous existing results, hybrid impulses seems to be more general.…”

Section: 2mentioning

confidence: 74%

Complex systems with impulsive effects and logical dynamics: A brief overview

Jiang¹,

Li²,

Lu³

2021

Discrete &Amp; Continuous Dynamical Systems - S

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In the past decades, complex systems with impulsive effects and logical dynamics have received much attention in both the natural and social sciences. This historical survey briefly introduces relevant studies on impulsive differential systems (IDSs) and logical networks (LNs), respectively. To begin with, we investigate five aspects of IDSs containing fundamental theory, Lyapunov stability, input-to-state stability, hybrid impulses and delay-dependent impulses. Next, we compactly summarize the research status of some problems of LNs including controllability, stability and stabilization, observability and current research. Moreover, some significant applications of proposed results are illustrated. Finally, based on this overview, we further discuss some future work on complex systems with impulsive effects and logical dynamics.

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Section: 2mentioning

confidence: 74%

Complex systems with impulsive effects and logical dynamics: A brief overview

Jiang¹,

Li²,

Lu³

2021

Discrete &Amp; Continuous Dynamical Systems - S

Self Cite

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“…This paper studies the synchronization of a class of heterogeneous networks. Different from the existing results that only consider time delays [21] or only consider partial coupling [8], [26] , the network model in this paper simultaneously considers the effects of time delays and partial coupling on the cooperative collective behavior of heterogeneous networks. Under the action of a class of heterogeneous impulses that depend on time and node states, the heterogeneous network achieves exponential synchronization.…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Partially Coupled Heterogeneous Networks With Time-Delays and Heterogeneous Impulsess

et al. 2021

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“…This notion was used to obtain a unified synchronization construction of impulsive dynamical networks regardless of whether the impulses are synchronizing or desynchronizing impulses. Afterwards, much attention was attracted by this results . Since the aforementioned results only considered two kinds of impulses separately, Wang et al proposed a novel concept called average impulsive gain to describe the condition that both synchronizing impulses and desynchronizing impulses occur simultaneously .…”

Section: Introductionmentioning

confidence: 99%

“…Afterwards, much attention was attracted by this results. [34][35][36][37][38][39] Since the aforementioned results only considered two kinds of impulses separately, Wang et al proposed a novel concept called average impulsive gain to describe the condition that both synchronizing impulses and desynchronizing impulses occur simultaneously. 40 They also extended the AII to the form of limit, which is more general.…”

Section: Introductionmentioning

confidence: 99%

Stability of switched systems with limiting average dwell time

Wang

Lou

2019

Intl J Robust & Nonlinear

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Summary In this paper, the stability problems of a class of switched systems with limiting average dwell time (ADT) are concerned. The common ADT is improved to a form of limit, and the limiting ADT even can be infinite. Different from previous results, in order to take full advantage of stabilizing switchings, switching‐dependent switched parameters are first used to describe the relationship of two consecutive activated switchings. Then, stability criteria of switched systems with limiting ADT are established, which are less conservative comparing with the existing results. Additionally, some stability criteria of switched systems including continuous‐time and discrete‐time cases are derived. Finally, the validity and effectiveness of our results are elucidated by numerical examples.

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Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses

Cited by 10 publications

References 51 publications

Complex systems with impulsive effects and logical dynamics: A brief overview

Complex systems with impulsive effects and logical dynamics: A brief overview

Exponential Synchronization of Partially Coupled Heterogeneous Networks With Time-Delays and Heterogeneous Impulsess

Stability of switched systems with limiting average dwell time

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