Results 191 to 200 of about 37,142 (217)

Solution of the Lyapunov matrix differential equations by the frequency method

Journal of Computer and Systems Sciences International, 2016
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D. E. Kataev, I. B. Yadykin
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Existence and uniqueness of solutions to Lyapunov matrix stochastic differential equations

International Journal of Dynamical Systems and Differential Equations, 2018
In this paper, we establish the existence and uniqueness of solutions to Lyapunov matrix stochastic differential equations (SDEs) by the method of successive approximations. The continuous dependence of the solutions on parameters and initial conditions are also discussed. An example is presented to illustrate the established results.
M.V.S.S.B.B.K. Sastry, G.V.S.R. Deekshitulu   +1 more
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The analytic structure of periodic solutions of a Lyapunov type matrix differential equation

Differential Equations, 2000
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Lapitinskij, V. N., Livinskaya, V. A.
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Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation

Asian Journal of Control, 2016
AbstractIn this paper, we offer several lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation applying index matrix eigenvalue inequalities and Hölder inequality. Further, we give a numerical example to illustrate the effectiveness of the derived bounds.
Zhang, Juan, Liu, Jianzhou, Huang, Hao
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Matrix Differential Equations and Lyapunov Transformations

1988
The main purpose of this paper is to establish necessary conditions and sufficient conditions for the existence of a solution Q(t) of the Lyapunov matrix differential equation of the form $${{dQ\left( t \right)} \over {dt}} = A\left( t \right)Q\left( t \right) - Q\left( t \right)B\left( t \right) + C\left( t \right),t \in \left[ {\gamma ,\delta ...
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Stability and the matrix Lyapunov equation for differential systems with delays

[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005
The author establishes sufficient conditions for the stability of linear and time-variant delay differential systems including their various usual subclasses (i.e., point, distributed, and mixed point-distributed delay systems). Sufficient conditions for stability are obtained in terms of the Schur complement of operators and the frequency-domain ...
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On the Ψ-Strong Stability of Nonlinear Lyapunov Matrix Differential Equations

Mathematica Slovaca, 2015
Abstract The paper provides (necessary and) sufficient conditions for Ψ-strong stability of the trivial solution of a linear Lyapunov matrix differential equations. Further, sufficient condition are obtained for Ψ-strong stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
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The existence conditions of the positive semidefinite solution for the Lyapunov matrix differential equation and improvements in its bounds

Journal of the Franklin Institute
Jianzhou Liu, Ze Zhang, Yan Xu
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On the \Psi-instability of a nonlinear Lyapunov matrix differential equation with integral term as right side

2021
The aim of this paper is to give sufficient conditions for $Psi$-instability of trivial solution of a nonlinear Lyapunov matrix differential equation with integral term as right side.
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B Lyapunov Matrix Differential Equation

2006
Christian A. Schenk, Gerhart I. Schuëller   +1 more
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