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

R Ma, J Wu, K Wu, X Pan - Nonlinear Dynamics, 2022‏ - Springer
This paper concerns the problem of fixed-time synchronization of master–slave Lorenz
systems. The adaptive control and fixed-time control strategies are successfully integrated …

Predefined-time stabilization of Lorenz system with applications for stabilizing and synchronizing chaotic finance systems

J Wu, Y Gu, Z Ji, K Wu, RR Ma - Physica Scripta, 2024‏ - iopscience.iop.org
This article investigates the predefined-time stabilization (PtS) of the canonical Lorenz
system at first, and then applies the derived results into the chaotic finance systems (CFSs) …

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

J Wu, R Ma - International Journal of Robust and Nonlinear …, 2021‏ - Wiley Online Library
By taking the noise into consideration, this article addresses the robust stochastic adaptive
finite‐time and fixed‐time synchronization of two chaotic systems. The novel adaptive and …

Predefined-time smooth stability analysis of nonlinear chaotic systems with applications in the PMSM system and Hindmarsh-Rose neuron model

RR Ma, Z Huang, Z Ma - Physica Scripta, 2023‏ - iopscience.iop.org
This article investigates the predefined-time stabilization of nonlinear chaotic systems with
applications in the permanent magnet synchronous motor (PMSM) system and Hindmarsh …

Adaptive projective synchronization for time-delayed fractional-order neural networks with uncertain parameters and its application in secure communications

X Song, S Song, B Li… - Transactions of the …, 2018‏ - journals.sagepub.com
In this paper, the adaptive projective synchronization of time-delayed fractional-order neural
networks is considered. Using the active control and adaptive control methods, efficient …

Adaptive projective synchronization for fractional-order TS fuzzy neural networks with time-delay and uncertain parameters

S Song, X Song, IT Balsera - Optik, 2017‏ - Elsevier
In this paper, the adaptive projective synchronization of time-delayed fractional-order (FO)
TS fuzzy neural networks is considered. By use of active control and adaptive control …

Stochastic fixed-time synchronization of chaotic systems via smooth control

J Wu, X Wang, R Ma - Journal of Mechanical Science and Technology, 2021‏ - Springer
This paper is concerned with the fixed-time synchronization of two chaotic systems, and
further takes the stochastic noise into consideration. A novel smooth control protocol is …

The Gaussian error function for a new theorem on fixed-time stability with applications in synchronization of chaotic Lorenz systems

EA Assali - Nonlinear Dynamics, 2024‏ - Springer
This paper introduces a new fixed-time stability theorem using the Gauss error function and
some inequality techniques. Unlike the existing fixed-time stability theorems, the proposed …

Fixed‐Time Feedback Control of the Hydraulic Turbine Governing System

C Ma, C Liu, X Zhang - Complexity, 2018‏ - Wiley Online Library
Dealing with convergence time and dealing with steady state are two of the most
challenging problems in the field of stability of the hydraulic turbine governing system. In this …

Fixed‐time stability analysis of permanent magnet synchronous motors with novel adaptive control

M Liu, J Wu, Y Sun - Mathematical Problems in Engineering, 2017‏ - Wiley Online Library
We firstly investigate the fixed‐time stability analysis of uncertain permanent magnet
synchronous motors with novel control. Compared with finite‐time stability where the …