Results 21 to 30 of about 3,985,897 (236)
On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential ...
Diamandescu Aurel
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Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we give a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation on $\mathbb{R}$.
Aurel Diamandescu
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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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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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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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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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Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems [PDF]
, 2002 This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and ...
Owens, D H, Rogers, E
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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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