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Khosro Khandani

Khosro Khandani

Academic rank: Associate Professor
ORCID: https://orcid.org/0000000217623541
Education: PhD.
ScopusId: 35753283400
Faculty: Engineering
Address: Arak University
Phone: 086-32625324

Research

Title
Mean square exponential stabilization of uncertain time-delay stochastic systems with fractional Brownian motion
Type
JournalPaper
Keywords
fractional Brownian motion, LMIs, mean square exponential stabilization, sliding mode control
Year
2021
Journal International Journal of Robust and Nonlinear Control
DOI
Researchers Khosro Khandani ، Majid Parvizian

Abstract

This article is concerned with exponential mean square stabilization of stochastic systems driven by fractional Brownian motion subject to state-delay and uncertainties by sliding mode control. By applying the proposed method, the states of the system reach the sliding surface in finite time. Then, some sufficient conditions are given in terms of linear matrix inequalities (LMIs) to guarantee the mean-square exponential stability of the sliding motion. The LMI conditions for mean-square exponential stability of the sliding mode dynamics are derived by constructing a novel Lyapunov functional. Finally, a simulation example ispresented which corroborates the accuracy of the results