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IEEE AccessThe time-varying Lyapunov equation plays a central role in the stability analysis and control of dynamic systems across various fields. Traditional methods for dealing with time-varying Lyapunov equations often face challenges such as slow convergence ...
Jiawen Huang, Yiming Yan
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A novel noise-tolerant Zhang neural network for time-varying Lyapunov equation [PDF]
Advances in Difference Equations, 2020 The Zhang neural network (ZNN) has become a benchmark solver for various time-varying problems solving. In this paper, leveraging a novel design formula, a noise-tolerant continuous-time ZNN (NTCTZNN) model is deliberately developed and analyzed for a ...
Min Sun, Jing Liu
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The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system [PDF]
Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback [PDF]
Theoretical and Applied Mechanics, 2021 In this paper, we investigate a nonlinear viscoelastic equation. By assuming time-varying delay feedback acting on the boundary, under certain assumptions on the given data, the general decay estimates for the energy are established by introducing ...
Rahmoune Abita
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State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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Finite-time stabilization for fractional-order inertial neural networks with time varying delays
Nonlinear Analysis, 2022 This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs). Firstly, by correctly selected variable substitution, the system is transformed into a first-order fractional differential ...
Chaouki Aouiti +3 more
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Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays
Mathematics, 2021 This research study investigates the issue of finite-time passivity analysis of neutral-type neural networks with mixed time-varying delays. The time-varying delays are distributed, discrete and neutral in that the upper bounds for the delays are ...
Issaraporn Khonchaiyaphum +3 more
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Advances in Difference Equations, 2020 In this paper, the parameter identification of gene regulatory network with time-varying delay is studied. Firstly, we introduce the differential equation model of gene regulatory network with unknown parameters and time delay.
Chunlin Liu, Fei Wang
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Boundary Control for Cascaded System of Nonlinear ODE/Hyperbolic PDE With Time-Varying Parameter
IEEE Access, 2021 Boundary control for a nonlinear system actuated by a first-order time-varying hyperbolic partial differential equation is investigated. Two-step backstepping transformation is applied during the design.
Cong Lin, Xiushan Cai
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Mathematics, 2019 This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov−Krasovkii functional,
Janejira Tranthi +3 more
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