This note deals with the constant control problem for homogeneous cooperative and irreducible systems. These systems serve as models for positive systems. A necessary and sufficient condition for global asymptotic stability of the zero solution of this class of systems is known. Adding a constant control allows to shift the equilibrium point from zero to a point in the first orthant. We prove that for every nontrivial nonnegative control vector a unique nontrivial equilibrium point is achieved which is globally asymptotically stable if the zero solution of the uncontrolled system is globally asymptotically stable. In addition a converse result is provided. Finally a stability result for a particular class of Kolmogorov systems is establishe...
We consider a class of continuous-time cooperative systems evolving on the positive orthant ℝⁿ₊. We ...
AbstractIn the first part of this paper it is proved a general principle for reaction-diffusion coop...
Nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous describ...
This note deals with the constant control problem for homogeneous cooperative and irreducible system...
for homogeneous cooperative and irreducible systems. These systems serve as models for positive syst...
Building on recent work on homogeneous cooperative systems, we extend results concerning stability o...
A general class of nonlinear systems is investigated from the stand-point of global asymptotic stabi...
We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear ...
We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous ...
Copyright © 2013 Fengying Wei, Cuiying Li. This is an open access article distributed under the Crea...
The strict positivity of equilibria is known to be equivalent to asymptotic stability in excitable p...
The talk presents some concepts and results from systems and control theory, focusing on convergence...
We provide conditions that guarantee existence, uniqueness and stability of strictly positive equili...
The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stabili...
We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear...
We consider a class of continuous-time cooperative systems evolving on the positive orthant ℝⁿ₊. We ...
AbstractIn the first part of this paper it is proved a general principle for reaction-diffusion coop...
Nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous describ...
This note deals with the constant control problem for homogeneous cooperative and irreducible system...
for homogeneous cooperative and irreducible systems. These systems serve as models for positive syst...
Building on recent work on homogeneous cooperative systems, we extend results concerning stability o...
A general class of nonlinear systems is investigated from the stand-point of global asymptotic stabi...
We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear ...
We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous ...
Copyright © 2013 Fengying Wei, Cuiying Li. This is an open access article distributed under the Crea...
The strict positivity of equilibria is known to be equivalent to asymptotic stability in excitable p...
The talk presents some concepts and results from systems and control theory, focusing on convergence...
We provide conditions that guarantee existence, uniqueness and stability of strictly positive equili...
The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stabili...
We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear...
We consider a class of continuous-time cooperative systems evolving on the positive orthant ℝⁿ₊. We ...
AbstractIn the first part of this paper it is proved a general principle for reaction-diffusion coop...
Nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous describ...