Results 211 to 220 of about 10,834,365 (253)

Stability and the matrix Lyapunov equation for discrete 2-dimensional systems

IEEE Transactions on Circuits and Systems, 1986
A necessary and sufficient condition is established for the existence of positive definite solutions to the 2-D Lyapunov equation using properties of strictly bounded real matrices. It is shown that in general the 2-D Lyapunov condition is only sufficient and not necessary for the stability of a 2-D discrete system.
Anderson, Brian D. O., Agathoklis, Panajotis, Jury, E. I., Mansour, M.   +3 more
openaire   +4 more sources

Necessary conditions for the stability of one delay systems: a Lyapunov matrix approach

IFAC Proceedings Volumes, 2012
Abstract Necessary conditions for the exponential stability of one delay linear systems expressed in terms of the Lyapunov matrix of the system are proved. The effectiveness of the proposed conditions is shown in illustrative examples.
Sabine Mondié, Carlos Cuvas, Adrián N. Ramírez, Alexey V. Egorov   +3 more
openaire   +3 more sources

Analytical construction of the hierarchical matrix Lyapunov function for impulse systems

Ukrainian Mathematical Journal, 1997
See the review in Zbl 0887.93062.
Martynyuk, A. A., Begmuratov, K. A.
core   +4 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 V. Alexandrova, Aleksandr I. Belov
openaire   +4 more sources

Controllability of impulsive matrix Lyapunov systems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhaskar Dubey, Raju K. George
openaire   +3 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

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