4.7 Article

Adaptive fixed-time synchronization of Lorenz systems with application in chaotic finance systems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Automation & Control Systems

Robust finite-time and fixed-time chaos synchronization of PMSMs in noise environment

Jie Wu et al.

Summary: This paper proposes novel adaptive control schemes for robust stochastic chaos synchronization of two PMSMs in noise environment, and derives sufficient conditions based on stochastic finite-time and fixed-time stability theories. The stochastic fixed-time synchronization can eliminate the dependence on initial conditions in PMSMs, overcoming a critical deficiency of stochastic finite-time synchronization.

ISA TRANSACTIONS (2022)

Article Mathematics, Interdisciplinary Applications

Stochastic adaptive fixed-time stabilization of chaotic systems with applications in PMSM and FWS

Jie Wu et al.

Summary: This investigation successfully achieves fixed-time stabilization of chaotic systems using an adaptive control scheme without needing to set control gains in advance. Criteria for ensuring system stability are deduced based on stochastic fixed-time stability theory, and an upper bound time is estimated, independent of the initial states of the systems.

CHAOS SOLITONS & FRACTALS (2021)

Review Mathematics, Interdisciplinary Applications

Pre define d-time synchronization of chaotic systems with different dimensions and applications

El Abed Assali

Summary: This paper investigates predefined-time synchronization analysis for two chaotic systems with different dimensions. A new control protocol is proposed based on predefined-time stability, and adaptive control is used to consider parameter uncertainties. The efficacy of the results is confirmed through numerical simulations.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Interdisciplinary Applications

Finite-Time Impulsive Control of Financial Risk Dynamic System with Chaotic Characteristics

Li Ziyan et al.

Summary: This study proposes a financial risk dynamic system and uses a finite-time impulse controller to control the risk, which has a faster convergence speed.

COMPLEXITY (2021)

Article Automation & Control Systems

Robust adaptive finite-time and fixed-time synchronization of chaotic systems with smooth control

Jie Wu et al.

Summary: This article presents a robust stochastic adaptive finite-time and fixed-time synchronization method for two chaotic systems, addressing the noise and overcoming the issues in traditional controllers with novel adaptive control protocols to enhance synchronized performance of chaotic systems. The proposed theoretical results are validated through two representative applications.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2021)

Article Engineering, Mechanical

Stochastic fixed-time synchronization of chaotic systems via smooth control

Jie Wu et al.

Summary: This study proposes a novel smooth control protocol for fixed-time synchronization of chaotic systems, considering the effects of stochastic noise. The results demonstrate robustness of fixed-time synchronization to noise perturbation.

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY (2021)

Article Mathematics, Interdisciplinary Applications

Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system

S. Harshavarthini et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Automation & Control Systems

Global fixed-time synchronization of chaotic systems with different dimensions

Xiaozhen Guo et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2020)

Article Mechanics

Unstable periodic orbits analysis in the generalized Lorenz-type system

Chengwei Dong et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2020)

Article Engineering, Mechanical

Adaptive fixed-time control for Lorenz systems

Huanqing Wang et al.

NONLINEAR DYNAMICS (2020)

Article Physics, Multidisciplinary

High-dimensional generalizations of the Lorenz system and implications for predictability

Sungju Moon et al.

PHYSICA SCRIPTA (2020)

Article Engineering, Mechanical

Nonlinear dynamics and complexity in the generalized Lorenz system

Wieslaw M. Macek

NONLINEAR DYNAMICS (2018)

Article Engineering, Multidisciplinary

Comparative Controlling of the Lorenz Chaotic System Using the SMC and APP Methods

Ercan Kose et al.

MATHEMATICAL PROBLEMS IN ENGINEERING (2018)

Article Automation & Control Systems

Finite-time H∞ control for a chaotic finance system via delayed feedback

Erfeng Xu et al.

SYSTEMS SCIENCE & CONTROL ENGINEERING (2018)

Article Engineering, Multidisciplinary

Global finite-time synchronization of different dimensional chaotic systems

Daoyuan Zhang et al.

APPLIED MATHEMATICAL MODELLING (2017)

Article Engineering, Multidisciplinary

Some criteria for the global finite-time synchronization of two Lorenz-Stenflo systems coupled by a new controller

Yun Chen et al.

APPLIED MATHEMATICAL MODELLING (2014)

Article Automation & Control Systems

Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems

Andrey Polyakov

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2012)

Article Engineering, Multidisciplinary

Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique

Mohammad Pourmahmood Aghababa et al.

APPLIED MATHEMATICAL MODELLING (2011)

Article Mathematics, Interdisciplinary Applications

Robust chaotic control of Lorenz system by backstepping design

Chao-Chung Peng et al.

CHAOS SOLITONS & FRACTALS (2008)

Article Physics, Multidisciplinary

Stabilizing near-nonhyperbolic chaotic systems with applications

DB Huang

PHYSICAL REVIEW LETTERS (2004)

Article Engineering, Electrical & Electronic

A new D-stability criterion of multiparameter singularly perturbed discrete systems

THS Li et al.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS (2002)

Article Mathematics, Interdisciplinary Applications

Adaptive backstepping control of uncertain Lorenz system

C Wang et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2001)

Article Physics, Multidisciplinary

Impulsive control for the stabilization and synchronization of Lorenz systems

WX Xie et al.

PHYSICS LETTERS A (2000)

Article Automation & Control Systems

Finite-time stability of continuous autonomous systems

SP Bhat et al.

SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2000)

Article Physics, Multidisciplinary

Controlling hyperchaos

L Yang et al.

PHYSICAL REVIEW LETTERS (2000)