Inverse optimal pinning control for synchronization of complex networks with nonidentical chaotic nodes

In this work, a neural impulsive pinning controller for a twenty-node dynamical discrete complex network is presented. The node dynamics of the network are all different types of discrete versions of chaotic attractors of three dimensions. Using the V-stability method, we propose a criterion for selecting nodes to design pinning control, in which only a small fraction of the nodes is locally controlled in order to stabilize the network states at zero. A discrete recurrent high order neural network (RHONN) trained with extended Kalman filter (EKF) is used to identify the dynamics of controlled nodes and synthesize the control law.

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“…Consider then, the next dynamical model of a complex network with N nodes and linear and diffusive connections [11].…”

Section: Some Complex Network Theorymentioning

confidence: 99%

Neural-Impulsive Pinning Control for Complex Networks Based on V-Stability

2020

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“…This motivates the study of a problem in which the nodeto-node coupling among the network nodes is different from the coupling exerted on the pinned nodes. Similar versions of this problem have been previously investigated in [26][27][28][29] using a Lyapunov function (V-stability) which provides a sufficient stability condition. In this paper, we investigate stability using linearization, which provides both necessary and sufficient conditions.…”

Section: Introductionmentioning

confidence: 97%

Pinning control of networks: dimensionality reduction through simultaneous block-diagonalization of matrices

Panahi¹,

Lodi²,

Storace³

et al. 2022

Preprint

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“…One of the most used methods for complex networks is pinning control, in which only a fraction of the nodes is locally controlled [8]. This method has been studied in numerous studies; and has been expanded by combining it with other non-linear control methods such as sliding mode control, inverse optimal control, or neural networks [9][10][11][12]. One method not specific to complex networks is impulsive control, in which the control input is not applied continuously [13].…”

Section: Introductionmentioning

confidence: 99%

“…First, we want to begin by saying that each referenced study has made an important contribution to the field, each one with pros and cons, as our proposal also achieves. One of the points of our proposal is the use of pinning control where we can find studies such as [9][10][11][12]; these studies do not consider time-varying connections and they use pinning control techniques based on a neural network model of the complex network, whereas this proposal uses a discretization of the complex network based on passivity degrees. With respect to impulsive control applied to complex networks, we can find related works [14][15][16][17].…”

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confidence: 99%

Impulsive Pinning Control of Discrete-Time Complex Networks with Time-Varying Connections

et al. 2022

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Complex dynamical networks with time-varying connections have characteristics that allow a better representation of real-world complex systems, especially interest in their not static behavior and topology. Their applications reach areas such as communication systems, electrical systems, medicine, robotic, and more. Both continuous and discrete-time complex dynamical networks and the pinning control technique have been studied. However, even with interest in the research on complex networks combining characteristics of discrete-time, time-varying connections, pinning control, and impulsive control, there are few studies reported in the literature. There are some previous studies dealing with impulsively pin-controlling a discrete-time complex network. Nevertheless, they neglect to deal with time-varying connections; they deal with these systems by experimentally using continuous-time methods or linearizing the node dynamics. In this manner, this paper presents a control scheme that not only deals with pin control on discrete-time complex networks but also includes time-varying connections. This paper proposes an impulsive pin control to a zero state using passivity degrees considering a discrete-time complex network with undirected, linear, and diffusive couplings. Additionally, a corresponding mathematical analysis, which allows the representation of the dynamics as a set of symmetric matrices, is presented. With this, certain kinds of time-varying connections can be integrated into the analysis. Moreover, a particular criterion for selecting nodes to pin is also presented. The behavior of the controller for the non-varying and time-varying coupling cases is shown via numeric simulations.

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Inverse optimal pinning control for synchronization of complex networks with nonidentical chaotic nodes

Cited by 8 publications

References 19 publications

Neural-Impulsive Pinning Control for Complex Networks Based on V-Stability

Neural-Impulsive Pinning Control for Complex Networks Based on V-Stability

Pinning control of networks: dimensionality reduction through simultaneous block-diagonalization of matrices

Impulsive Pinning Control of Discrete-Time Complex Networks with Time-Varying Connections

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