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The class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed. It is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J. Evans,…

动力系统 · 数学 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

混沌动力学 · 物理学 2009-11-11 Chunguang Li

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

系统与控制 · 计算机科学 2013-12-24 He Bai , S. Yusef Shafi

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

混沌动力学 · 物理学 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

Synchronization problems of continuous and discrete singularly perturbed systems are studied in this paper with singular perturbations and time scales (SPaTS) technique. The dynamics of leader and followers are decomposed into pure-slow and…

系统与控制 · 计算机科学 2018-06-25 Neng Wan , Desineni S. Naidu

In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach…

混沌动力学 · 物理学 2016-08-23 D. Dmitrishin , I. M. Skrinnik , A. Stokolos

A new method of virtual unknown parameter is proposed to synchronize two different systems with unknown parameters and disturbance in finite time. Virtual unknown parameters are introduced in order to avoid the unknown parameters from…

混沌动力学 · 物理学 2009-09-30 Meili Lin , Zhengzhong Yuan , Jianping Cai

We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in…

其他凝聚态物理 · 物理学 2015-05-14 Francesco Sorrentino

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

混沌动力学 · 物理学 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

The task of implementing a supervisory controller is non-trivial, even though different theories exist that allow automatic synthesis of these controllers in the form of automata. One of the reasons for this discord is due to the…

计算机科学中的逻辑 · 计算机科学 2010-10-28 Harsh Beohar , Pieter Cuijpers

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

系统与控制 · 电气工程与系统科学 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

We consider the stabilization problem for driftless control-affine systems under the bracket-generating condition. In our previous works, a class of time-varying feedback laws has been constructed to stabilize the equilibrium of a…

最优化与控制 · 数学 2026-01-15 Alexander Zuyev , Victoria Grushkovskaya

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing…

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

最优化与控制 · 数学 2008-01-22 S. Emre Tuna

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

混沌动力学 · 物理学 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output reinjected after a certain delay. For a class of simple maps, we give analytic conditions for the…

混沌动力学 · 物理学 2009-11-07 Emilio Hernandez-Garcia , Cristina Masoller , Claudio R. Mirasso

In this article, we present data-driven feedback linearization for nonlinear systems with periodic orbits in the zero-dynamics. This scenario is challenging for data-driven control design because the higher order terms of the internal…

系统与控制 · 电气工程与系统科学 2022-11-22 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

In this paper we show that the analysis of the dynamics in localized regions, i.e., sub-systems can be used to characterize the chaotic dynamics and the synchronization ability of the spatiotemporal systems. Using noisy scalar time-series…

chao-dyn · 物理学 2009-10-30 Nita Parekh , V. Ravi Kumar , B. D. Kulkarni

Adaptive control is a control method that has an adaptation mechanism that reacts to model uncertainties. The control method is used to realized synchronization of a new chaotic system in a unidirectional master-slave topology. The master…

信号处理 · 电气工程与系统科学 2019-12-04 Christian Nwachioma