Results 21 to 30 of about 4,196,424 (240)
Stability analysis of nonlinear Lyapunov systems associated withan nth order system of matrix differential equations [PDF]
International Journal of Stochastic Analysis, 2000 This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system.
Murty, K. N., Shaw, Michael D.
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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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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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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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Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations [PDF]
Topological Methods in Nonlinear Analysis, 2015 17 ...
Cañada, Antonio, Villegas, Salvador
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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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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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A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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