On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations

Aurel Diamandescu

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On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations

机译：非线性Lyapunov矩阵微分方程的Ψ-条件稳定性。

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It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solution of linear or nonlinear Lyapunov matrix differential equations.

机译：证明了线性或非线性Lyapunov矩阵微分方程平凡解的stability条件稳定性的（必要和）充分条件。

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《Annals of the West University of Timisoara: Mathematics and Computer Science》 |2014年第1期|共24页
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Aurel Diamandescu;
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1. On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2016,第2期

机译：非线性Lyapunov矩阵微分方程的Ψ条件渐近稳定性。
2. On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2016,第1期

机译：非线性Lyapunov矩阵微分方程的Ψ条件指数渐近稳定性。
3. On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2015,第2期

机译：非线性Lyapunov矩阵微分方程的Ψ条件渐近稳定性。
4. Lyapunov stability and adaptive regulation of a class of nonlinear nonautonomous second-order differential equations [C] . de la Sen, M. . 2001

机译：一类非线性非自治二阶微分方程的Lyapunov稳定性和自适应调节
5. Asymptotic Stability of Systems of Coupled Nonlinear Partial Differential Equations arising From Acoustic-Structural and Fluid-Structural Interaction. [D] . Lu, Yongjin. 2012

机译：由声-结构和流体-结构相互作用产生的耦合非线性偏微分方程系统的渐近稳定性。
6. Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [O] . Erdal Korkmaz -1

机译：时滞非线性四阶微分方程解的导数的稳定性和平方可积性。
7. On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [O] . Diamandescu Aurel 2016

机译：非线性Lyapunov矩阵微分方程的Ψ-条件指数渐近稳定性
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations

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