On ψ Bounded Solutions for a Nonlinear Lyapunov Matrix Differential Equation on [PDF]
Annals of West University of Timisoara - Mathematics and Computer Science, 2018 Abstract 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].
Aurel Diamandescu
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianzhou Liu, Juan Zhang, Hao Huang
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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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On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of West University of Timisoara - Mathematics and Computer Science, 2015 Abstract It is proved (necessary and) sufficient conditions for Ψ − conditional asymptotic stability of the trivial solution of linear or nonlinear Lyapunov matrix differential equations.
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On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of West University of Timisoara - Mathematics, 2014 AbstractIt is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solution of linear or nonlinear Lyapunov matrix differential ...
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On the Ψ−uniform asymptotic stability of nonlinear Lyapunov matrix differential equations
ITM Web of Conferences, 2022 This paper deals with obtaining (necessary and) sufficient conditions for Ψ− uniform asymptotic stability of solutions of nonlinear Lyapunov matrix differential equations.
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On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of West University of Timisoara - Mathematics and Computer Science, 2016 Abstract It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential ...
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Annals of West University of Timisoara - Mathematics and Computer Science, 2022 Abstract 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.
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On Ψ-stability of nonlinear Lyapunov matrix differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Ψ - Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations
Annals of West University of Timisoara - Mathematics, 2013 This paper deals with (necessary and) sufficient conditions for Ψ-exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential equations. AMS Subject Classification (2010). 34D20;34D05.
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