Synchronization of stochastic fractional-order model of muscular blood vessels

被引：1

作者：

Ranjbar, Abedin ^{[1
]}

Madady, Ali ^{[1
,4
]}

Ramezani, Mehdi ^{[2
]}

Khosravi, Alireza ^{[3
]}

机构：

[1] Tafresh Univ, Dept Elect Engn, Tafresh, Iran

[2] Tafresh Univ, Dept Math, Tafresh, Iran

[3] Babol Noshirvani Univ Technol, Dept Elect & Comp Engn, Babol, Iran

[4] Tafresh Univ, Dept Elect Engn, Kilometer 5 Tehran Rd, Tafarsh 3951879611, Central Provinc, Iran

来源：

JOURNAL OF VIBRATION AND CONTROL | 2024年 / 30卷 / 17-18期

关键词：

Stochastic differential equations; fractional-order systems; synchronization; muscular blood vessel; nonlinear input; CORONARY-ARTERY SYSTEM; LYAPUNOV FUNCTIONS; NEURAL-NETWORKS;

D O I：

10.1177/10775463231201732

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This study deals with the synchronization problem of the stochastic fractional-order biomathematical model of muscular blood vessels (SFOMBVs) with nonlinear inputs using a state-feedback adaptive control law, in which the effects of uncertainties and external disturbances are considered in the modeling. The linear state feedback and adaptive laws are combined via an adaptive update law, leading to a simple and robust adaptive feedback scheme. The synchronization and tracking performances of the SFOMBV master and slave systems are investigated, and the stability of the proposed control system is proved based on stochastic analysis techniques and Lyapunov theory. The simulation results show that the proposed control method can lead an abnormal muscular blood vessel to a normal trajectory with good robustness by reducing the tracking error.

引用

页码：3775 / 3783

页数：9

共 25 条

[1] Chaotic Fractional-Order Model for Muscular Blood Vessel and its Control via Fractional Control Scheme
Aghababa, Mohammad Pourmahmood
Borjkhani, Mehdi
[J]. COMPLEXITY, 2014, 20 (02) : 37 - 46
[2] Aguila-Camacho N, 2016, IEEE-CAA J AUTOMATIC, V3, P332, DOI 10.1109/JAS.2016.7508809
[3] Lyapunov functions for fractional order systems
Aguila-Camacho, Norelys
Duarte-Mermoud, Manuel A.
Gallegos, Javier A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) : 2951 - 2957
[4] Risk assessment in control of fractional-order coronary artery system in the presence of external disturbance with different proposed controllers
Behinfaraz, Reza
Ghaemi, Sehraneh
Khanmohammadi, Sohrab
[J]. APPLIED SOFT COMPUTING, 2019, 77 : 290 - 299
[5] Bharucha-Reid A., 1976, STOCHASTIC DIFFERENT
[6] Reconstruction of coronary arteries from a single rotational X-ray projection sequence
Blondel, C
Malandain, G
Vaillant, R
Ayache, N
[J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 2006, 25 (05) : 653 - 663
[7] Cao K, 2018, Fractional Order Crowd Dynamics: Cyber-Human System Modeling and Control
[8] Prefixed-Time Local Intermittent Sampling Synchronization of Stochastic Multicoupling Delay Reaction-Diffusion Dynamic Networks
Ding, Kui
Zhu, Quanxin
Huang, Tingwen
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (01) : 718 - 732
[9] Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
Duarte-Mermoud, Manuel A.
Aguila-Camacho, Norelys
Gallegos, Javier A.
Castro-Linares, Rafael
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 650 - 659
[10] Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances
He, Shaobo
Fataf, N. A. A.
Banerjee, Santo
Sun, Kehui
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 526

← 1 2 3 →