Results 11 to 20 of about 2,730 (204)
Annals of the West University of Timisoara: Mathematics and Computer ScienceThe aim of this paper is to give sufficient conditions for Ψ − conditional asymptotic stability of the Ψ − bounded solutions of a nonlinear Lyapunov matrix differential equation with integral term as right side.
Diamandescu Aurel
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Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation
Mathematics, 2021 Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of the solution to perturbations in the matrix coefficients and the initial condition.
Vera Angelova +2 more
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Dwell Time for the Hurwitz Stability of Switched Linear Differential Equation Systems
Universal Journal of Mathematics and Applications, 2022 In this paper, the problem of dwell time for the Hurwitz stability of switched linear systems is considered. Dwell time is determined based on the solution of Lyapunov matrix equation for the Hurwitz stability of switched linear differential systems.
Ahmet Duman
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Nonautonomous equations and almost reducibility sets
Electronic Journal of Qualitative Theory of Differential Equations, 2021 For a nonautonomous differential equation, we consider the almost reducibility property that corresponds to the reduction of the original equation to an autonomous equation via a coordinate change preserving the Lyapunov exponents.
Luis Barreira, Claudia Valls
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Numerical solutions to large-scale differential Lyapunov matrix equations [PDF]
Numerical Algorithms, 2017 In the present paper, we consider large-scale differential Lyapunov matrix equations having a low rank constant term. We present two new approaches for the numerical resolution of such differential matrix equations. The first approach is based on the integral expression of the exact solution and an approximation method for the computation of the ...
Mustapha Hached, Khalide Jbilou
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Mathematics, 2023 In this manuscript, we explore how the solution of the matrix differential Riccati equation (MDRE) can be computed with the Extreme Theory of Functional Connections (X-TFC). X-TFC is a physics-informed neural network that uses functional interpolation to
Kristofer Drozd +3 more
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New estimates for the solution of the Lyapunov matrix differential equation [PDF]
The Electronic Journal of Linear Algebra, 2010 In this paper, by using majorization inequalities, upper bounds on summations of eigenvalues (including the trace) of the solution for the Lyapunov matrix differential equation are obtained. In the limiting cases, the results reduce to bounds of the algebraic Lyapunov matrix equation.
Juan Zhang, Jianzhou Liu
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An iterative algorithm for robust simulation of the Sylvester matrix differential equations
Advances in Difference Equations, 2020 This paper proposes a new effective pseudo-spectral approximation to solve the Sylvester and Lyapunov matrix differential equations. The properties of the Chebyshev basis operational matrix of derivative are applied to convert the main equation to the ...
Kazem Nouri +3 more
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STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
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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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