A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs

Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood

doi:10.1007/s11071-012-0395-1

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Problem Statement and Preliminaries2

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2014

2021

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Cited by 75 publications

(54 citation statements)

References 29 publications

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“…Throughout this paper, the configuration matrices C and D of the driving network (1) and the response network (2) are not necessary to be symmetric or irreducible. Namely, driving network (1) and response network (2) can be directed or not, and they may also have isolated nodes and clusters.…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Wu¹,

Sun²,

Zhao³

2015

Kybernetika

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Section: Problem Statement and Preliminariesmentioning

confidence: 99%

Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Wu¹,

Sun²,

Zhao³

2015

Kybernetika

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“…, , are called feedback, control, and state template, respectively. General chaotic system can be expressed as follows [17]:…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Adaptive Synchronization of Chaotic SC-CNN with Uncertain State Template

Thanh

Thuong²

2015

Mathematical Problems in Engineering

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The problem of synchronization of chaotic State Controlled Cellular Neural Network (SC-CNN) with uncertain state template is investigated. In detail, the following three cases are solved: firstly, synchronization of two identical chaotic SC-CNNs with uncertain state template, secondly, synchronization of two nonidentical chaotic SC-CNNs with all uncertain state templates, and, thirdly, synchronization between chaotic SC-CNN with uncertain state template and different uncertain parameter chaotic systems. The controllers and update laws proposed in each case are proved closely based on Lyapunov stability theory. In addition, some illustrative corresponding examples are presented to demonstrate the effectiveness and usefulness of the proposed control laws.

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“…Recently, the finite-time synchronization of two chaotic systems has been investigated by many researchers [1,2,3,8,24,26,35,37,40]. Finite-time generalized synchronization of chaotic systems with different order has been studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [1], a robust adaptive controller was introduced to realize finite-time chaos synchronization between two different chaotic systems in the presence of model uncertainties, external disturbances, fully unknown parameters, and input nonlinearities. In Ref.…”

Section: Introductionmentioning

confidence: 99%