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$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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On $\Psi$-stability of nonlinear Lyapunov matrix differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
Aurel Diamandescu
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On ψ Bounded Solutions for a Nonlinear Lyapunov Matrix Differential Equation on [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 Using Banach and Schauder - Tychono fixed point theorems, existence results for a nonlinear Lyapunov matrix differential equation on are given. The obtained results generalize and extend the results from [5] and [18].
Diamandescu Aurel
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On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solution of linear or nonlinear Lyapunov matrix differential ...
Diamandescu Aurel
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On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 It is proved (necessary and) sufficient conditions for Ψ − conditional asymptotic stability of the trivial solution of linear or nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 The aim of this paper is to give sufficient conditions for Ψ − conditional exponential 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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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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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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Note on the existence of a Ψ-bounded solution for a Lyapunov matrix differential equation
Demonstratio Mathematica, 2012 Abstract In this paper, we give a necessary and sufficient condition for the existence of at least one Ψ-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation. In addition, we give a result in connection with the asymptotic behavior of the Ψ-bounded solutions of this equation.
Aurel Diamandescu
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