$\Psi$-bounded solutions for a Lyapunov matrix differential equation [PDF]
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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Existence of $\Psi$-bounded solutions for nonhomogeneous Lyapunov matrix differential equations on $R$ [PDF]
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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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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Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings [PDF]
Abstract and Applied Analysis, 2013 We study complete synchronization of the complex dynamical networks described by linearly coupled ordinary differential equation systems (LCODEs). Here, the coupling is timevarying in both network structure and reaction dynamics. Inspired by our previous
Xinlei Yi, Wenlian Lu, Tianping Chen
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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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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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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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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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