Add to ORKGIn this paper, first we convert the non-linear matrix Lyapunov system into a Kronecker product matrix system with the help of Kronecker product of matrices. Then, we obtain sufficient conditions for Ψ-asymptotic stability and Ψ-uniform stability of the trivial solutions of the corresponding Kronecker product system. c©2012 NGA. All rights reserved
A frequency-domain criterion for the asymptotic stability-in-the-large of systems containing many no...
The problem of the absolute stability of systems, having a non-linear stationary part and non-linear...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
Abstract We provide necessary and sufficient conditions for Ψ-conditional asymptotic stability of th...
It is proved (necessary and) sufficient conditions for Ψ − conditional asymptotic stability of the t...
The stability of nonlinear systems is analyzed by the direct Lyapunov’s method in terms of Lyapunov ...
It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stabili...
In this paper a new general method is developed by means of which one can ascertain whether a nonlin...
It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solutio...
AbstractMatrix stability has been intensively investigated in the past two centuries. We review work...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
International audienceThis paper addresses the problem of stability for general two-dimensional (2D)...
In this paper, stability analysis of nonlinear systems is considered. Existence of Lyapunov function...
The matrix equation A'P + PA = -Q arises when the direct method of Lyapunov is used to analyse the s...
AbstractSeveral new characterizations of Lyapunov diagonal stability are presented. One of the chara...
A frequency-domain criterion for the asymptotic stability-in-the-large of systems containing many no...
The problem of the absolute stability of systems, having a non-linear stationary part and non-linear...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...
Abstract We provide necessary and sufficient conditions for Ψ-conditional asymptotic stability of th...
It is proved (necessary and) sufficient conditions for Ψ − conditional asymptotic stability of the t...
The stability of nonlinear systems is analyzed by the direct Lyapunov’s method in terms of Lyapunov ...
It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stabili...
In this paper a new general method is developed by means of which one can ascertain whether a nonlin...
It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solutio...
AbstractMatrix stability has been intensively investigated in the past two centuries. We review work...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
International audienceThis paper addresses the problem of stability for general two-dimensional (2D)...
In this paper, stability analysis of nonlinear systems is considered. Existence of Lyapunov function...
The matrix equation A'P + PA = -Q arises when the direct method of Lyapunov is used to analyse the s...
AbstractSeveral new characterizations of Lyapunov diagonal stability are presented. One of the chara...
A frequency-domain criterion for the asymptotic stability-in-the-large of systems containing many no...
The problem of the absolute stability of systems, having a non-linear stationary part and non-linear...
The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but...