Results 251 to 260 of about 981,053 (295)
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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,
Chuan Chen, Lixiang Li, Haipeng Peng
exaly +3 more sources
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,
Chuan Chen, Lixiang Li, Haipeng Peng
exaly +3 more sources
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 +2 more
exaly +3 more sources
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 +2 more
exaly +3 more sources
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, Haijun Jiang, Tingwen Huang
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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, Haijun Jiang, Tingwen Huang
exaly +4 more sources
A modified generic second order algorithm with fixed-time stability
ISA Transactions, 2021 This 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 and Predefined-Time Stability of Impulsive Systems
IEEE/CAA Journal of Automatica Sinica, 2023Tengda Wei, Xiaodi Li
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Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability
IEEE Transactions on Cybernetics, 2021 This article is concerned with the problem of fixed-time (FXT) and preassigned-time (PAT) synchronization for discontinuous dynamic networks by improving FXT stability and developing simple control schemes.
Cheng Hu, Haibo He, Haijun Jiang
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Finite-time and fixed-time input-to-state stability: Explicit and implicit approaches [PDF]
Systems and Control Letters, 2020 International audienceThe present article gathers the analysis of non-asymptotic convergence rates (finite-time and fixed-time) with the property of input-to-state stability.
FRANCISCO Lopez-Ramirez +2 more
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Fixed-time stability of ODE and fixed-time stability of neural network
International Journal of Control, 2020We 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 stability analysis of discontinuous impulsive systems
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongshu Wang, Luke Li
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Fixed-time stability of positive nonlinear systems
Transactions of the Institute of Measurement and Control, 2020This 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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