Synchronization of dynamical networks with nonlinearly coupling function under hybrid pinning impulsive controllers

Li, Yuanyuan; Lou, Jungang; Wang, Zhen; Alsaadi, Fuad E.

doi:10.1016/j.jfranklin.2018.06.021

Cited by 130 publications

(42 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation

Stability of switched systems with limiting average dwell time

Wang

Lou

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of switched systems with limiting average dwell time

Wang

Lou

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…We can find earlier works on impulsive systems in the works of Lakshmikantham et al and Benchohra et al The impulsive system is generally regarded as an important type of hybrid system. Specifically, the impulsive system is composed of three parts, ie, continuous evolution, discrete evolution, and an impulsive rule, determining when the impulses happen . The stability analyses of impulsive systems have been extensively investigated by many investigators .…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, the impulsive system is composed of three parts, ie, continuous evolution, discrete evolution, and an impulsive rule, determining when the impulses happen. [21][22][23][24][25][26] The stability analyses of impulsive systems have been extensively investigated by many investigators. [12][13][14][27][28][29] Moreover, Hespanha et al 14 and Chen and Zheng 30 have presented the notions of ISS and iISS of (delayed) impulsive systems, and some sufficient criteria based on Lyapunov methods for above characters have been derived.…”

Section: Introductionmentioning

confidence: 99%

Input/output‐to‐state stability of nonlinear impulsive delay systems based on a new impulsive inequality

Jiang

et al. 2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary In this paper, input/output‐to‐state stability (IOSS) and integral IOSS (iIOSS) are investigated for nonlinear impulsive systems with delay. Based on a new impulsive inequality, we propose some sufficient criteria for IOSS and iIOSS of impulsive delay systems. It is shown that the obtained results for IOSS and iIOSS are regardless of the length of the impulsive interval and the size of time delay if the impulsive gain satisfies a given condition. In addition, based on the average impulsive interval method, some more useful sufficient conditions are derived for IOSS and iIOSS of impulsive delay systems with persistent large‐scale destabilizing impulses. Furthermore, a relationship is established among the average impulsive interval, impulses, time delay, and the decay of the system without impulses such that the impulsive delay system is input/output‐to‐state stable and integral input/output‐to‐state stable, respectively. Two examples are given to show the validity of the obtained results.

show abstract

“…[35]), finite-time synchronization (e.g. Liu et al [21], Liu, et al [22], Liu et al [23] and Liu et al [24]), synchronization based on periodically intermittent adaptive control (Guo et al [9], Wang et al [42]), pinning synchronization (Li et al [20]),pinning synchronization based on adaptive control (Wang et al [43]), lag synchronization (e.g. [47]), event-based synchronization ( [38]), consensus with antagonistic interactions ( [28]) and so on.…”

mentioning

confidence: 99%

Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations

Zhuang¹,

Yan²,

Xia³

2021

Discrete &Amp; Continuous Dynamical Systems - S

View full text Add to dashboard Cite

This paper concerns the synchronization of a kind of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations. Multi-layer networks are a kind of complex networks with different layers, which consist of different kinds of interactions or multiple subnetworks. Additive couplings are designed to capture the different layered connections. In this paper, two pinning controllers are designed to guarantee the synchronization of the stochastic multi-layer network. One is the state-feedback pinning controller with constant control gains. The other one is the adaptive pinning controller with adaptive control gains. It is worthwhile to mention that our assumptions on the activation functions satisfy a generalized Lipschitzian condition which are weaker than those in the previous works. Moreover, as we prove, only selected part of the nodes to be controlled are enough to guarantee that the drive system and response network can be stochastically synchronized. Finally, an example and its simulations are presented to show the feasibility effectiveness of our control schemes.

show abstract

Synchronization of dynamical networks with nonlinearly coupling function under hybrid pinning impulsive controllers

Cited by 130 publications

References 32 publications

Stability of switched systems with limiting average dwell time

Stability of switched systems with limiting average dwell time

Input/output‐to‐state stability of nonlinear impulsive delay systems based on a new impulsive inequality

Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations

Contact Info

Product

Resources

About