Decentralized Adaptive Control for Synchronization and Consensus of Complex Networks

DeLellis, Pietro; Bernardo, Mario di; Garofalo, F.

doi:10.1007/978-3-642-03199-1_2

Cited by 5 publications

(1 citation statement)

References 26 publications

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“…Synchronization of chaos has also been used to identify and predict the dynamics of unknown real systems [27][28][29][30]. Adaptive strategies have been proposed to enhance synchronization of coupled dynamical systems by acting on the coupling strengths [51][52][53] and the topology of interconnections [54]. Unknown parameters have been adaptively estimated in the presence of time-delays in [55][56][57][58][59].…”

Section: Formulationmentioning

confidence: 99%

Estimation of communication-delays through adaptive synchronization of chaos

Sorrentino¹,

DeLellis²

2012

Chaos, Solitons & Fractals

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This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one and is transmitted with an unknown time-varying delay. We show that an appropriate adaptive strategy can be devised that is successful in dynamically identifying the time-varying delay and in synchronizing the two systems. The performance of our strategy with respect to the choice of the initial conditions and the presence of noise in the communication channels is tested by using numerical simulations. Another advantage of our approach is that in addition to estimating the communication-delay, the adaptive strategy could be used to simultaneously identify other parameters, such as, e.g., the unknown time-varying amplitude of the received signal

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Section: Formulationmentioning

confidence: 99%

Estimation of communication-delays through adaptive synchronization of chaos

Sorrentino¹,

DeLellis²

2012

Chaos, Solitons & Fractals

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Introduction

Berner

2021

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

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Sufficient synchronization conditions for resistively and memristively coupled oscillators of FitzHugh-Nagumo-type

Lautenbacher,

Al Beattie,

Ochs

et al. 2024

Discov Appl Sci

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We study the synchronization behavior of a class of identical FitzHugh-Nagumo-type oscillators under adaptive coupling. We describe the oscillators by a circuit model and we provide a sufficient synchronization condition that relies on the shape of the nonlinear conductance’s (i, u)-curve and the connectivity of the adaptive coupling network. The coupling network is allowed to be time-variant, state-dependent and locally adaptive, where we treat memristive coupling elements as a special case. We provide a physical interpretation of synchronization in terms of power dissipation and investigate the sharpness of our condition.

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Decentralized Adaptive Control for Synchronization and Consensus of Complex Networks

Cited by 5 publications

References 26 publications

Estimation of communication-delays through adaptive synchronization of chaos

Estimation of communication-delays through adaptive synchronization of chaos

Introduction

Sufficient synchronization conditions for resistively and memristively coupled oscillators of FitzHugh-Nagumo-type

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