Chaos Control and Synchronization via Switched Output Control Strategy

Luo, Runzi; Su, Haipeng; Zeng, Yifan

doi:10.1155/2017/6125102

Cited by 11 publications

(8 citation statements)

References 30 publications

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“…From [4,31,32], the fact lim →∞ ‖ ‖ = 0 will ensure lim →∞ ‖ − ‖ = 0. The main purpose of this paper is to find the conditions to guarantee lim →∞ ‖ ‖ = 0, which means that scheme (3) has a similar structure to scheme (2).…”

Section: Preliminariesmentioning

confidence: 99%

An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

Ding

Kim

et al. 2017

Discrete Dynamics in Nature and Society

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This paper deals with designing a new iteration scheme associated with a given scheme for contraction mappings. This new scheme has a similar structure to that of the given scheme, in which those two iterative schemes converge to the same fixed point of the given contraction mapping. The positive influence of feedback parameters on the convergence rate of this new scheme is investigated. Moreover, the derived convergence and comparison results can be extended to nonexpansive mappings. As an application, the derived results are utilized to study the synchronization of logistic maps. Two illustrated examples are used to reveal the effectiveness of our results.

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Section: Preliminariesmentioning

confidence: 99%

An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

Ding

Kim

et al. 2017

Discrete Dynamics in Nature and Society

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“…is self-organizing behavior of such intelligent and dynamical networked system, through transferring and interaction of information between local agents, as a whole, presenting the ability of e ective coordination and the level of advanced intelligence, has led to the wide concern and interest in many elds including applied mathematics, ecology, biology, sociology, physics, computer science, control, and engineering. At present, coordinated control of intelligent systems has become a hot research topic in the eld of control and is widely used in smart grids, UAV formation, intelligent transportation systems, arti cial satellite networks, and so on [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

On the Observability of Leader‐Based Multiagent Systems with Fixed Topology

Liu

et al. 2019

Complexity

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This paper investigates the observability of first-order, second-order, and high-order leader-based multiagent systems (MASs) with fixed topology, respectively. Some new algebraic and graphical characterizations of the observability for the first-order MASs are established based on agreement protocols. Moreover, under the same leader-following framework with the predefined topology and leader assignment, the observability conditions for systems of double-integrator and high-integrator agents are also obtained. Finally, the effectiveness of the theoretical results is verified by numerical examples and simulations.

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“…The problem of the unidirectional synchronization of chaotic systems consists of finding an appropriate control law such that when this is applied to a system with coupled inputs called "slave" or "response," such system follows the dynamics of an autonomous chaotic system called "master" or "drive" [1][2][3][4][5][6][7][8][9][10][11]. This proper control action is necessary because, without it, two identical autonomous chaotic systems could never be synchronized due to their high sensitivity to initial conditions [12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

et al. 2019

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In this paper, a new linear feedback controller for synchronization of two identical chaotic systems in a master-slave configuration is presented. This controller requires knowing a priori Lipschitz constant of the nonlinear function of the chaotic system on its attractor. The controller development is based on an algebraic Riccati equation. If the gain matrix and the matrices of Riccati equation are selected in such a way that a unique positive definite solution is obtained for this equation, then, with respect to previous works, a stronger result can be guaranteed here: the exponential convergence to zero of the synchronization error. Additionally, the nonideal case is also studied, that is, when unmodeled dynamics and/or disturbances are present in both master system and slave system. On this new condition, the synchronization error does not converge to zero anymore. However, it is still possible to guarantee the exponential convergence to a bounded zone. Numerical simulation confirms the satisfactory performance of the suggested approach.

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Chaos Control and Synchronization via Switched Output Control Strategy

Cited by 11 publications

References 30 publications

An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

On the Observability of Leader‐Based Multiagent Systems with Fixed Topology

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

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