Add to ORKGInternational audienceWe present a new characterization of exponential stability for nonlinear systems in the form of Lyapunov functions which may be upper and lower bounded by monotonic functions satisfying a growth order relationship rather than being polynomials of the state's norm. In particular, one may allow for Lyapunov functions with arbitrary weakly homogeneous bounds
We show that uniformly global asymptotic stability and input-to-state stability for a family of ordi...
AbstractWe establish the stability under perturbations of the dynamics defined by a sequence of line...
summary:Sufficient conditions are established for the global stability of solutions of certain third...
International audienceWe present a new characterization of exponential stability for nonlinear syste...
Lyapunov-based sufficient conditions for exponential stability in hybrid systems are presented. The ...
International audienceThis note studies nonlinear systems evolving on manifolds with a finite number...
In this survey, we introduce the notion of stability of time varying nonlinear systems. In particula...
Abstract: This paper presents a proof that the use of polynomial Lyapunov functions is not conservat...
AbstractA new theory known as set dynamic equations on time scales has been built. The criteria for ...
This paper presents a proof that existence of a polyno-mial Lyapunov function is necessary and suffi...
We treat the problem of constructing Lyapunov functions for systems which are, by assumption, expone...
International audienceWe give a new sufficient condition on the boundary conditions for the exponent...
International audienceIn this paper we investigate the stabi-lizability problem of a class of multi-...
We study the relationship between the global exponential stability of an invariant manifold and the ...
AbstractThis paper is concerned with exponential stability of solutions of perturbed discrete equati...
We show that uniformly global asymptotic stability and input-to-state stability for a family of ordi...
AbstractWe establish the stability under perturbations of the dynamics defined by a sequence of line...
summary:Sufficient conditions are established for the global stability of solutions of certain third...
International audienceWe present a new characterization of exponential stability for nonlinear syste...
Lyapunov-based sufficient conditions for exponential stability in hybrid systems are presented. The ...
International audienceThis note studies nonlinear systems evolving on manifolds with a finite number...
In this survey, we introduce the notion of stability of time varying nonlinear systems. In particula...
Abstract: This paper presents a proof that the use of polynomial Lyapunov functions is not conservat...
AbstractA new theory known as set dynamic equations on time scales has been built. The criteria for ...
This paper presents a proof that existence of a polyno-mial Lyapunov function is necessary and suffi...
We treat the problem of constructing Lyapunov functions for systems which are, by assumption, expone...
International audienceWe give a new sufficient condition on the boundary conditions for the exponent...
International audienceIn this paper we investigate the stabi-lizability problem of a class of multi-...
We study the relationship between the global exponential stability of an invariant manifold and the ...
AbstractThis paper is concerned with exponential stability of solutions of perturbed discrete equati...
We show that uniformly global asymptotic stability and input-to-state stability for a family of ordi...
AbstractWe establish the stability under perturbations of the dynamics defined by a sequence of line...
summary:Sufficient conditions are established for the global stability of solutions of certain third...