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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
Many practical systems can be well described by various fractional-order equations. This paper focuses on identifying the topology of the response layer of a drive-response fractional-order complex dynamical network using the auxiliary-system approach.
Yi Zheng +3 more
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Many practical systems can be well described by various fractional-order equations. This paper focuses on identifying the topology of the response layer of a drive-response fractional-order complex dynamical network using the auxiliary-system approach.
Yi Zheng +3 more
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An auxiliary system approach to fault estimation for continuous-time Markovian jump systems
2021 33rd Chinese Control and Decision Conference (CCDC), 2021This paper studies the fault estimation problem for continuous-time Markovian jump systems (MJSs). The stochastic system and deterministic fault make the fault estimation problem more difficult.
Guoliang Wang, Yifan Huang
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An auxiliary system discretization approach to Takagi-Sugeno fuzzy models
Fuzzy Sets and Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Víctor C. da S. Campos +2 more
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Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009In this paper, generalized synchronization of two chaotic systems is investigated. The auxiliary system approach, which is suggested by H. Abarbanel, N. Rulkov, and M. Sushchik [Phys. Rev. E 53, 4528 (1996)], is used to detect and study generalized synchronization.
He, Wangli, Cao, Jinde
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Finite-time consensus of second-order multi-agent systems via auxiliary system approach
Journal of the Franklin Institute, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Xiaoyang +4 more
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Journal of the Franklin Institute, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolei Li +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolei Li +3 more
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Sliding Mode Control of Networked Control Systems: An Auxiliary Matrices-Based Approach
IEEE Transactions on Automatic Control, 2022A novel sliding mode control design method is developed to address the robust stabilization problem for uncertain time-varying networked control systems subject to state delay, which utilises auxiliary matrices to avoid the difficulties of finding quadratic Lyapunov functions and solving the linear matrix inequalities.
Huazhou Hou, Xinghuo Yu, Zao Fu
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2016 Chinese Control and Decision Conference (CCDC), 2016
This paper investigates topology identification of two-layer unidirectional complex dynamical networks based on auxiliary-system approach. Particularly, consider the interested layer as response layer, the other layer as drive layer, then construct a auxiliary layer which is driven by the driving signal as an identical duplication of the response layer.
Yingfei Wang, Xiaoqun Wu, Jinhu Lu
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This paper investigates topology identification of two-layer unidirectional complex dynamical networks based on auxiliary-system approach. Particularly, consider the interested layer as response layer, the other layer as drive layer, then construct a auxiliary layer which is driven by the driving signal as an identical duplication of the response layer.
Yingfei Wang, Xiaoqun Wu, Jinhu Lu
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Physical Review E, 2013
The auxiliary system approach being de facto the standard for the study of generalized synchronization in the unidirectionally coupled chaotic oscillators is also widely used to examine the mutually coupled systems and networks of nonlinear elements with the complex topology of links between nodes.
Olga I, Moskalenko +2 more
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The auxiliary system approach being de facto the standard for the study of generalized synchronization in the unidirectionally coupled chaotic oscillators is also widely used to examine the mutually coupled systems and networks of nonlinear elements with the complex topology of links between nodes.
Olga I, Moskalenko +2 more
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Science China Information Sciences, 2023
Guoliang Wang, Siyong Song, Chao Huang
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Guoliang Wang, Siyong Song, Chao Huang
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