Results 1 to 10 of about 3,985,897 (236)
IEEE Access, 2020 This paper investigates the stability of a class of quaternion-valued neural networks (QVNNs) with discrete and distributed delays. By decomposing the QVNN and forming an equivalent real-valued vector-matrix differential equation (RVVDE), based on the ...
Huiling Duan +4 more
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Explicit solutions for a system of coupled Lyapunov differential matrix equations [PDF]
Proceedings of the Edinburgh Mathematical Society, 1987 This paper is concerned with the problem of obtaining explicit expressions of solutions of a system of coupled Lyapunov matrix differential equations of the typewhere Fi, Ai(t), Bi(t), Ci(t) and Dij(t) are m×m complex matrices (members of ℂm×m), for 1≦i, j≦N, and t in the interval [a,b]. When the coefficient matrices of (1.1) are timeinvariant, Dij are
Jodar, L., Mariton, M.
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Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 It is proved a necessary and sufficient condition for the existence of at least one Ψ- bounded solution of a linear non- homogeneous Lyapunov matrix differential equation.
Diamandescu Aurel
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Axioms, 2022 This paper discusses the robust stability and stabilization of polynomial fractional differential (PFD) systems with a Caputo derivative using the sum of squares. In addition, it presents a novel method of stability and stabilization for PFD systems.
Hassan Yaghoubi +2 more
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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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Electronic Journal of Qualitative Theory of Differential Equations, 2023 The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
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LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks
Advances in Difference Equations, 2019 This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQVNNs).
Dongyuan Lin +3 more
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Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
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Applied Sciences, 2020 This study classified chaotic time series data, including smooth and nonsmooth problems in a dynamic system, using a convolutional neural network (CNN) and verified it through the Lyapunov exponent. For this, the classical nonlinear differential equation
Jaehyeon Nam, Jaeyoung Kang
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Finite-time complete periodic synchronization of memristive neural networks with mixed delays
Scientific Reports, 2023 In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the ...
Hajer Brahmi +5 more
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