Results 211 to 220 of about 10,321,079 (247)

Second-order n-dimensional systems and the Lyapunov matrix equation

IEEE Transactions on Automatic Control, 1971
Equations analogous to the Lyapunov matrix equation are derived for second-order n -dimensional systems. These are shown to be more readily solvable than the equivalent 2n -dimensional Lyapunov matrix equation.
J. Heinen, L. Crum
exaly   +2 more sources

Synthesis of discretized Lyapunov functional method and the Lyapunov matrix approach for linear time delay systems

Automatica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irina Medvedeva
exaly   +3 more sources

Polynomial approximations of the Lyapunov matrix of a class of time delay systems

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2009
Abstract A polynomial approximation of the Lyapunov matrix appearing in the complete type Lyapunov Krasovskii functionals associated to a class of retarded time delay systems is proposed. The results are concordant with the available semi-analytic solution.
Sabine Mondie
exaly   +2 more sources

Solution of the Lyapunov matrix equation for a system with a time‐dependent stiffness matrix

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003
AbstractThe stability of the linearized model of a rotor system with non‐symmetric strain and axial loads is investigated. Since we are using a fixed reference system, the differential equations have the advantage to be free of Coriolis and centrifugal forces.
Pommer, Christian, Kliem, Wolfhard
openaire   +2 more sources

On Ψ-boundedness and Ψ-stability of matrix Lyapunov systems

Journal of Applied Mathematics and Computing, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murty, M. S. N., Kumar, G. Suresh
openaire   +1 more source

Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach

Systems & Control Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gilberto Ochoa, Vladimir L. Kharitonov, Sabine Mondié   +2 more
openaire   +1 more source

Lyapunov Functions and Solutions of the Lyapunov Matrix Equation for Marginally Stable Systems

2002
We consider linear systems of differential equations \(I\ddot x + B\dot x + Cx = 0\) where I is the identity matrix and B and C are general complex n x n matrices. Our main interest is to determine conditions for complete marginal stability of these systems.
Wolfhard Kliem, Christian Pommer
openaire   +1 more source

Matrix-Valued Lyapunov Function for an Extended Dynamic System

International Applied Mechanics, 2001
A new method is proposed to construct a matrix-valued Lyapunov function for a linear autonomous system extended in accordance with the Ikeda–Siljak ...
A. A. Martynyuk, V. I. Slyn'ko
openaire   +1 more source

Lyapunov's matrix equation with system matrix in companion form

International Journal of Control, 1993
Abstract A simple method for solving Lyapunov's matrix equation for linear continuous systems with the system matrix in companion form is proposed. The method involves the inversion of the Hurwitz matrix. A necessary and sufficient condition for the existence of a solution to the equation is also obtained.
openaire   +1 more source

Lyapunov matrix of linear systems with delays: A polynomial approximation

2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2009
A polynomial approximation of the Lyapunov matrix appearing in the complete type Lyapunov Krasovskii functionals associated to time delay systems of retarded type with multiple arbitrary delays is proposed. Two measures of the quality of the approximation are provided: the first one is an estimate of the error in the derivative and the second one is ...
Erick Huesca, Sabine Mondie
openaire   +1 more source