Finite-time robust stochastic synchronization of uncertain Markovian complex dynamical networks with mixed time-varying delays and reaction–diffusion terms via impulsive control

Ali, M. Syed; Yogambigai, J.

doi:10.1016/j.jfranklin.2016.12.014

Cited by 50 publications

(12 citation statements)

References 43 publications

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“…For example, in [19], the unknown disturbance and coupling delay were analyzed by employing fractional-order lowpass filter and Luenberger-type state observer. Reference [20] solved the robust finite-time synchronization of an uncertain Markovian complex dynamic network with time-varying delay and reaction-diffusion terms. By designing a feedback controller with update law, Mei [21] evaluated a class of finite-time synchronization problems of a drive-response system that can identify topology structure and uncertain parameters simultaneously and obtained a sufficient condition that can ensure a system to achieve synchronization.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of uncertain complex dynamic networks with time-varying delay

Luo

Yao

2020

Adv Differ Equ

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This study investigates the finite-time synchronization of uncertain nonlinear complex dynamic networks with time-varying delay. For a class of complex network models with time-varying delay and uncertain system parameters, the time delay changes infrequently, uncertain terms are unknown but bounded, and the matching conditions are satisfied. The coupling relationship between nodes is a nonlinear function with time delay, and the function satisfies the Lipschitz condition. A new criterion for the finite-time synchronization of a class of complex dynamical networks with variable delay is obtained, and the upper bound of the time for the system to achieve synchronization is presented by constructing a suitable Lyapunov-Krasovskii function, designing a nonlinear controller, and combining analysis techniques, such as matrix inequality. Finally, the validity of finite-time synchronization is verified through computer simulation.

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Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of uncertain complex dynamic networks with time-varying delay

Luo

Yao

2020

Adv Differ Equ

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“…As a matter of fact, in many practical engineering areas, it is necessary and meaningful for a coupling dynamical system to achieve the desired dynamical behaviors in finite time interval [26][27][28]. Hence, a lot of results about finitetime synchronization dynamics problems for coupling systems have been obtained [29][30][31][32][33][34]. For example, based on finite-time control theory, Wang et al [29] designed finitetime control rule to achieve global synchronization within convergence time for a class of linear coupling Markovian jump complex networks.…”

Section: Introductionmentioning

confidence: 99%

The Impact of Coupling Function on Finite‐Time Synchronization Dynamics of Multi‐Weighted Complex Networks with Switching Topology

et al. 2019

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This paper is not only concerned with the problem of finite-time synchronization control for a class of nonlinear coupling multi-weighted complex networks (NCMWCNs) with switching topology but also an attempt at using the derived results and Lyapunov stability theory to study the impact of nonlinear coupling function on finite-time synchronization dynamics of the raised network model. Firstly, different from the existing related results, based on the existing and new finite-time theories, two finite-time synchronization controllers are, respectively, designed to make the considered network achieve finite-time synchronization. Secondly, according to the obtained results, several finite-time synchronization dynamics criteria are established to show that nonlinear coupled function and the switching of outer-coupling matrix are how to impact finite-time synchronization dynamics. Finally, two illustrated examples are provided to verify the effectiveness of theoretical results proposed in this paper.

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“…Simultaneously, due to processing speeds, finite information transmission, and random perturbations which are often from environment elements, it is inevitable that time-delays and stochastic noises often happen [28]. Thus, many useful results for synchronization of Markovian switching systems with time-delays and stochastic noises were derived [21,29,30].…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint

et al. 2019

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This paper is mainly concerned with how nonlinear coupled one impacts synchronization dynamics of a class of nonlinear coupled Markovian switching multiweighted complex networks (NCMSMWCNs). Firstly, sufficient conditions of finite-time synchronization for a class of NCMSMWCNs and a class of linear coupled Markovian switching multiweighted complex networks (LCMSMWCNs) are investigated. Secondly, based on the derived results, how nonlinear coupled one affects synchronization dynamics of the NCMSMWCNs is analyzed from synchronization control rule. Thirdly, in order to further explore how nonlinear coupled one affects synchronization dynamics of the NCMSMWCNs, synchronization dynamics relationship of the NCMSMWCNs and the LCMSMWCNs is built. Furthermore, this relationship can also show how linear coupled one affects synchronization dynamics of the LCMSMWCNs. At last, numerical examples are provided to demonstrate the effectiveness of the obtained theory.

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Finite-time robust stochastic synchronization of uncertain Markovian complex dynamical networks with mixed time-varying delays and reaction–diffusion terms via impulsive control

Cited by 50 publications

References 43 publications

Finite-time synchronization of uncertain complex dynamic networks with time-varying delay

Finite-time synchronization of uncertain complex dynamic networks with time-varying delay

The Impact of Coupling Function on Finite‐Time Synchronization Dynamics of Multi‐Weighted Complex Networks with Switching Topology

Finite‐Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint

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