Results 181 to 190 of about 2,730 (204)

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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Lyapunov-type functions and invariant sets for Riccati matrix differential equations

1997 European Control Conference (ECC), 1997
We present two different methods to obtain global existence results for solutions of nonsymmetric Riccati matrix differential equations. In the first approach we derive sufficient conditions ensuring that the spectral norm of the solutions remains uniformly bounded in an interval (−∞, to]: in a second part we make use of the linearizability of the ...
G. Freiling, G. Jank, A. Sarychev
openaire   +1 more source

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 ...
openaire   +1 more source

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.
openaire   +1 more source

Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system

International Journal of Control, 2018
In this paper, we first show a class relation between the eigenvalue of functional matrix derivative and the derivative of function matrix eigenvalue.
Jianzhou Liu, Juan Zhang, Quanbing Li
openaire   +1 more source

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.
openaire   +1 more source

Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation

IMA Journal of Mathematical Control and Information, 2016
Juan Zhang, Jianzhou Liu, Quanbing Li
openaire   +1 more source

B Lyapunov Matrix Differential Equation

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

Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system

International Journal of Control, 2020
Jianzhou Liu
exaly  

Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation

Asian Journal of Control, 2017
Jianzhou Liu
exaly