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Fixed-Time Stabilization of Discontinuous Neutral Neural Networks With Proportional Delays via New Fixed-Time Stability Lemmas

IEEE Transactions on Neural Networks and Learning Systems, 2023
When studying the stability of time-delayed discontinuous systems, Lyapunov-Krasovskii functional (LKF) is an essential tool. More relaxed conditions imposed on the LKF are preferred and can take more advantages in real applications. In this article, novel conditions imposed on the LKF are first given which are different from the previous ones.
Fanchao Kong, Quanxin Zhu
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Fixed-time stability analysis of discontinuous impulsive systems

Communications in Nonlinear Science and Numerical Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongshu Wang, Luke Li
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Fixed-time stability of ODE and fixed-time stability of neural network

International Journal of Control, 2020
We give the sufficient conditions to fixed-time stability for nonautonomous ODEs for which the right-hand side is only Lebesgue measurable with respect to time t.
Anna Michalak, Andrzej Nowakowski
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Fixed-time attitude stabilization for a rigid spacecraft

ISA Transactions, 2020
This paper mainly investigates the problem of the attitude stabilization for a rigid spacecraft based on the model of Modified Rodriguez Parameters. A fixed-time attitude stabilization controller is designed to guarantee that the attitude of the rigid spacecraft will be stabilized to the equilibrium in a fixed time which is independent of any initial ...
Haibo, Du   +5 more
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Fixed time stability of discrete-time stochastic dynamical systems

Automatica, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Junsoo, Haddad, Wassim M.
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Fixed-time stability of positive nonlinear systems

Transactions of the Institute of Measurement and Control, 2020
This paper studies the fixed-time stability problem for positive nonlinear systems defined by cooperative vector fields. A criterion is derived to ensure fixed-time stabilization of the positive nonlinear systems using Lyapunov method. In addition, a sufficient condition is also presented for fixed-time stability of switched positive nonlinear systems
Yunru Zhu   +3 more
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Fixed-time stability and stabilization of impulsive dynamical systems

Journal of the Franklin Institute, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongfei Li   +3 more
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Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks

Neural Networks, 2017
In this paper, the fixed-time stability of dynamical systems and the fixed-time synchronization of coupled discontinuous neural networks are investigated under the framework of Filippov solution. Firstly, by means of reduction to absurdity, a theorem of fixed-time stability is established and a high-precision estimation of the settling-time is given ...
Cheng Hu   +4 more
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Fixed-Time Stability and Stabilization

2019
This chapter introduces some basic results of finite-time and fixed-time stability and stabilization. To illustrate these results, three interesting examples are first presented to give an insight into the key feature on a standard structure of finite-time and fixed-time stabilizations.
Zongyu Zuo, Qing-Long Han, Boda Ning
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Fixed-time synchronization of delayed memristive neural networks with impulsive effects via novel fixed-time stability theorem

Neural Networks, 2023
In this study, the fixed-time synchronization (FXTS) of delayed memristive neural networks (MNNs) with hybrid impulsive effects is explored. To investigate the FXTS mechanism, we first propose a novel theorem about the fixed-time stability (FTS) of impulsive dynamical systems, where the coefficients are extended to functions and the derivatives of ...
Dongshu Wang, Luke Li
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