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Journal ArticleDOI

Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks

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TLDR
A novel decentralized adaptive pinning-control scheme for cluster synchronization of undirected networks using a local adaptive strategy on both coupling strengths and feedback gains is proposed.
Abstract
In this brief, we investigate pinning control for cluster synchronization of undirected complex dynamical networks using a decentralized adaptive strategy. Unlike most existing pinning-control algorithms with or without an adaptive strategy, which require global information of the underlying network such as the eigenvalues of the coupling matrix of the whole network or a centralized adaptive control scheme, we propose a novel decentralized adaptive pinning-control scheme for cluster synchronization of undirected networks using a local adaptive strategy on both coupling strengths and feedback gains. By introducing this local adaptive strategy on each node, we show that the network can synchronize using weak coupling strengths and small feedback gains. Finally, we present some simulations to verify and illustrate the theoretical results.

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Citations
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Journal ArticleDOI

Synchronization Control for A Class of Discrete Time-Delay Complex Dynamical Networks: A Dynamic Event-Triggered Approach

TL;DR: This paper makes the first attempt to introduce a dynamic event-triggering strategy into the design of synchronization controllers for complex dynamical networks for the efficiency of energy utilization and verification of the effectiveness of the proposedynamic event-triggered synchronization control scheme.
Journal ArticleDOI

Pinning Synchronization of Directed Networks With Switching Topologies: A Multiple Lyapunov Functions Approach

TL;DR: It is theoretically shown that the global pinning synchronization in switched complex networks can be ensured if some nodes are appropriately pinned and the coupling is carefully selected and some numerical simulations on coupled neural networks are provided to verify the theoretical results.
Journal ArticleDOI

Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control

TL;DR: A novel impulse pinning strategy involving pinning ratio is proposed and a general criterion is derived to ensure an array of neural networks with two different topologies synchronizes with the desired trajectory.
Journal ArticleDOI

Fault-Tolerant Consensus of Multi-Agent System With Distributed Adaptive Protocol

TL;DR: A distributed fault-tolerant leader-follower consensus protocol for multi-agent system is constructed by the proposed adaptive method and a simulation example is given to illustrate the effectiveness of the theoretical analysis.
Journal ArticleDOI

Approximation-Based Adaptive Tracking Control for MIMO Nonlinear Systems With Input Saturation

TL;DR: An approximation-based adaptive tracking control approach is proposed for a class of multiinput multioutput nonlinear systems based on the method of neural network, and a novel adaptive controller is designed via backstepping design process.
References
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Book

Applied Nonlinear Control

TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Journal ArticleDOI

Synchronization in chaotic systems

TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Journal ArticleDOI

Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

TL;DR: In this paper, the generalized stability theory of the synchronized motions of the coupled oscillator systems was developed with the use of the extended Lyapunov matrix approach, and the explicit formula for a stability parameter was given.
Journal ArticleDOI

Synchronization of chaotic systems.

TL;DR: The historical timeline of this topic back to the earliest known paper is established and it is shown that building synchronizing systems leads naturally to engineering more complex systems whose constituents are chaotic, but which can be tuned to output various chaotic signals.
Journal ArticleDOI

From Phase to Lag Synchronization in Coupled Chaotic Oscillators

TL;DR: In this paper, the authors study synchronization transitions in a system of two coupled self-sustained chaotic oscillators and demonstrate that with the increase of coupling strength, the system first undergoes the transition to phase synchronization.
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