Results 231 to 240 of about 4,548,243 (309)

Swarming Behavior of Multiple Euler–Lagrange Systems With Cooperation–Competition Interactions: An Auxiliary System Approach

IEEE Transactions on Neural Networks and Learning Systems, 2018
In this paper, the swarming behavior of multiple Euler-Lagrange systems with cooperation-competition interactions is investigated, where the agents can cooperate or compete with each other and the parameters of the systems are uncertain. The distributed stabilization problem is first studied, by introducing an auxiliary system to each agent, where the ...
Hong-Xiang Hu   +4 more
semanticscholar   +5 more sources

Generalized synchronization of chaos: The auxiliary system approach

Physical Review E, 1996
Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than identical chaotic oscillations in coupled systems. It may imply a more complicated connection between the synchronized trajectories in the state spaces of coupled systems.
, Abarbanel, , Rulkov, , Sushchik
semanticscholar   +5 more sources

On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network

IEEE Transactions on Automatic Control, 2017
Generalized synchronization is ubiquitous in nature. It is well known that the auxiliary system approach has been widely used to verify the presence of generalized synchronization. This approach was firstly proposed in a drive-response system, then extended to the bidirectionally coupled systems and complex networks. However, the well-known generalized
Jin Zhou, Juan Chen, Junan Lu, Jinhu Lu
semanticscholar   +4 more sources

Event-Based Control for Networked T–S Fuzzy Systems via Auxiliary Random Series Approach

IEEE Transactions on Cybernetics, 2020
This paper presents an auxiliary random series approach to model the effect of network induced problems, such as data losses and transmission delay subject to event-based communication scheme for nonlinear continuous time systems. T-S fuzzy model is employed to describe the nonlinear systems.
Ziran Chen   +4 more
semanticscholar   +5 more sources

Generalized synchronization on the onset of auxiliary system approach

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020
Generalized synchronization is an emergent functional relationship between the states of the interacting dynamical systems. To analyze the stability of a generalized synchronization state, the auxiliary system technique is a seminal approach that is broadly used nowadays. However, a few controversies have recently arisen concerning the applicability of
Sarbendu Rakshit, Dibakar Ghosh
openaire   +3 more sources

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