Results 151 to 160 of about 2,196,852 (174)
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A modified generic second order algorithm with fixed-time stability
ISA Transactions, 2021This paper introduces a modified second order sliding mode algorithm with fixed-time stability analysis based on the Lyapunov function approach. An existing second order sliding mode algorithm is generalized, which provides superior features on convergence rate, accuracy, and robustness against a class of perturbations.
Tran, Xuan-Toa, Oh, Hyondong
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Fixed time stability of impulsive stochastic nonlinear time‐varying systems
International Journal of Robust and Nonlinear Control, 2023AbstractThe aim of the article is to discuss stochastic fixed‐time (FIXT) stability of impulsive stochastic nonlinear time‐varying systems. By using the multiple Lyapunov method and stochastic analysis theory, several novel stability theorems for determining stochastic FIXT stability are established.
Haiqi Peng, Quanxin Zhu
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Journal of Computational and Nonlinear Dynamics, 2023
AbstractFixed-time synchronization of fractional-order multilayer complex networks is studied in this paper. At first, a novel fixed-time stability theorem for the fractional-order nonlinear system is presented. The stability theorem is a generalization of the integer order stability theorem and plays an important role on the synchronization schemes ...
Runzi Luo +4 more
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AbstractFixed-time synchronization of fractional-order multilayer complex networks is studied in this paper. At first, a novel fixed-time stability theorem for the fractional-order nonlinear system is presented. The stability theorem is a generalization of the integer order stability theorem and plays an important role on the synchronization schemes ...
Runzi Luo +4 more
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Neural Networks, 2020
In this paper, we derive a new fixed-time stability theorem based on definite integral, variable substitution and some inequality techniques. The fixed-time stability criterion and the upper bound estimate formula for the settling time are different from those in the existing fixed-time stability theorems. Based on the new fixed-time stability theorem,
Chen, Chuan +5 more
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In this paper, we derive a new fixed-time stability theorem based on definite integral, variable substitution and some inequality techniques. The fixed-time stability criterion and the upper bound estimate formula for the settling time are different from those in the existing fixed-time stability theorems. Based on the new fixed-time stability theorem,
Chen, Chuan +5 more
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Fixed-time stabilization with dead-zone optimization
Systems & Control LetterszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiawei Song, Zongyu Zuo, Michael Basin
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Fixed-time stabilization of impulsive Cohen–Grossberg BAM neural networks
Neural Networks, 2018This article is concerned with the fixed-time stabilization for impulsive Cohen-Grossberg BAM neural networks via two different controllers. By using a novel constructive approach based on some comparison techniques for differential inequalities, an improvement theorem of fixed-time stability for impulsive dynamical systems is established. In addition,
Hongfei Li +3 more
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Fixed-time stabilization control for port-Hamiltonian systems
Nonlinear Dynamics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinggui Liu, Xiaofeng Liao
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Fixed-time spacecraft attitude stabilization using homogeneous method
2016 UKACC 11th International Conference on Control (CONTROL), 2016Fixed-time controller features an upper bound of settling time, which does not depend on the initial states of control system. In view of that nearly all the existing fixed-time control methods are based on the terminal sliding mode technique, the problem of fixed-time attitude stabilization of a rigid spacecraft is investigated based on a homogeneous ...
Li Yuan +3 more
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Fixed-time stability theorem of stochastic nonlinear systems
International Journal of Control, 2018To solve the fixed-time stability problem for stochastic systems, which has not been investigated due to the difficulty caused by the existence of stochastic, the fixed-time stability is investigat...
Jiaju Yu, Shuanghe Yu, Juan Li, Yan Yan
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Finite-time and fixed-time stability and synchronization
2016 35th Chinese Control Conference (CCC), 2016Recently, finite-time and fixed-time stability has been a hot topic in the study of dynamical systems. In this paper, we will provide an insightful view on this issue and explore the intrinsic property by mathematical analysis. Several theorems and corollaries show how to find the settling time. Moreover, we apply the corresponding theory on the finite-
Xiwei Liu, Wenlian Lu, Tianping Chen
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