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Finite-time and fixed-time stability and synchronization

2016 35th Chinese Control Conference (CCC), 2016
Recently, finite-time and fixed-time stability has been a hot topic in the study of dynamical systems. In this paper, we will provide an insightful view on this issue and explore the intrinsic property by mathematical analysis. Several theorems and corollaries show how to find the settling time. Moreover, we apply the corresponding theory on the finite-
Xiwei Liu, Wenlian Lu, Tianping Chen
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Finite-Time Self-Organized-Criticality on Synchronized Infinite Grids

SIAM Journal on Mathematical Analysis, 2018
The problem is well known (i.e., investigation of self-organized dynamical systems) but what is new here is that the considered model is defined as an impulsive evolution process over a space-time synchronized infinite grid. The system is defined by the mean of a multi-index of order four which pictures the structural complexity of the system. The long-
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Finite-time synchronization of switched stochastic Rössler systems

Nonlinear Dynamics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Yi-You   +2 more
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Finite-Time Synchronization of Delayed Fractional-Order Heterogeneous Complex Networks

Neurocomputing, 2020
Abstract This paper is devoted to exploring the finite-time (FET) synchronization problem of time-varying delay fractional-order (FO) coupled heterogeneous complex networks (TFCHCNs) with external interference via a discontinuous feedback controller.
Ying Li   +3 more
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Finite-time synchronization of memristor-based neural networks

The 27th Chinese Control and Decision Conference (2015 CCDC), 2015
This paper investigates finite-time synchronization of memristor-based neural networks. The purpose of the addressed problem is to design a suitable controller to realize the finite-time synchronization between the drive and response systems. Unlike the previous works, such finite-time synchronization will be realized for memristor-based neural ...
Haibo Bao, Ju H. Park
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Finite-Time Synchronization of Networks via Quantized Intermittent Pinning Control

IEEE Transactions on Cybernetics, 2018
This technical correspondence considers finite-time synchronization of dynamical networks by designing aperiodically intermittent pinning controllers with logarithmic quantization. The control scheme can greatly reduce control cost and save both communication channels and bandwidth. By using multiple Lyapunov functions and convex combination techniques,
, Chen Xu   +5 more
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FINITE-TIME CHAOS SYNCHRONIZATION OF A NEW HYPERCHAOTIC LORENZ SYSTEM

International Journal of Modern Physics B, 2013
This paper deals with the finite-time chaos synchronization of a new hyperchaotic Lorenz system. Based on the finite-time stability theory, a simple and robust controller is proposed to realize finite-time chaos synchronization for the hyperchaotic Lorenz system.
Wang, Xingyuan, Gao, Xulong, Wang, Lulu
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Finite-time event-triggered synchronization for reaction–diffusion complex networks

Physica A: Statistical Mechanics and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Aijuan, Liao, Xiaofeng, Dong, Tao
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Finite-Time Synchronization

2023
Wenhai Qi, Guangdeng Zong
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Finite‐time pinning synchronization control for multi‐layer complex networks

International Journal of Robust and Nonlinear Control
AbstractThe synchronization of multi‐layer networks can greatly improve production and life efficiency, thus having important research significance. In this article, the finite‐time pinning synchronization control strategy is investigated for multi‐layer networks.
Shixiang Sun   +3 more
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