Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.

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Bibliographic Details
Title:	Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.
Authors:	Yao, H. J.¹ yaohejun@aynu.edu.cn
Source:	IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2596-2602. 7p.
Subjects:	Time delay systems, Matrix inequalities, Control theory (Engineering), MatLab (Computer software), Lyapunov functions, Computer networks
Abstract:	To investigate the finite-time stabilization of the networked system, two independent stochastic variables are employed to quantitatively characterize the stochastic uncertainties inherent in the system, which leads to the development of a comprehensive stochastic mathematical model for the networked system under consideration. In order to effectively tackle the delays that may occur within the system, we propose an innovative Lyapunov functional that incorporates an integral block. This advancement is significant as it enhances the characterization of system stability over finite time interval. To establish conditions for the system's delay-dependent finite-time stabilization, we employ matrix transformation techniques. Furthermore, we implement a linear matrix inequality framework, which facilitates the identification of the necessary criteria of a finite-time fuzzy controller. The conditions outlined can be systematically resolved using MATLAB to compute the gain matrix effectively. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	To investigate the finite-time stabilization of the networked system, two independent stochastic variables are employed to quantitatively characterize the stochastic uncertainties inherent in the system, which leads to the development of a comprehensive stochastic mathematical model for the networked system under consideration. In order to effectively tackle the delays that may occur within the system, we propose an innovative Lyapunov functional that incorporates an integral block. This advancement is significant as it enhances the characterization of system stability over finite time interval. To establish conditions for the system's delay-dependent finite-time stabilization, we employ matrix transformation techniques. Furthermore, we implement a linear matrix inequality framework, which facilitates the identification of the necessary criteria of a finite-time fuzzy controller. The conditions outlined can be systematically resolved using MATLAB to compute the gain matrix effectively. [ABSTRACT FROM AUTHOR]
ISSN:	19929978