Add to ORKGInternational audienceThe aim of this paper is to study the asymptotic uniform stability in probability when a nonlinear stochastic differential equation does not have a trivial solution. For nontrivial solutions of a nonlinear stochastic differential equation, the problem of asymptotic uniform stability in probability is reformulated for a ball of radius R>0. Based on this new formulation, a theorem for the asymptotic uniform stability in probability for this ball is proposed by using a Lyapunov approach
In this paper we consider a nonlinear non-autonomous system ordinary differential equations (ODE) an...
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stabil...
Stability in the Lyapunov sense for deterministic systems has been well studied since the beginning ...
The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems ar...
The method of Lyapunov functions is one of the most effective ones for the investigation of stabilit...
International audienceIn this paper, we deal with asymptotic stability in probability of a class of...
This article presents a brief survey on the use of Lyapunov method for stochastic differential equat...
Abstract. In this article we consider nonlinear stochastic differential systems and use Lyapunov fun...
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic d...
AbstractUsing the method of Lyapunov functionals construction, it is shown that investigation of sta...
This paper studies the stability for nonlinear stochastic discrete-time systems. First of all, sever...
summary:In this paper we give sufficient conditions under which a nonlinear stochastic differential ...
Using the method of Lyapunov functionals construction, it is shown that investigation of stability i...
We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov func...
Abstract. We develop a method to prove almost global stability of stochastic differential equations ...
In this paper we consider a nonlinear non-autonomous system ordinary differential equations (ODE) an...
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stabil...
Stability in the Lyapunov sense for deterministic systems has been well studied since the beginning ...
The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems ar...
The method of Lyapunov functions is one of the most effective ones for the investigation of stabilit...
International audienceIn this paper, we deal with asymptotic stability in probability of a class of...
This article presents a brief survey on the use of Lyapunov method for stochastic differential equat...
Abstract. In this article we consider nonlinear stochastic differential systems and use Lyapunov fun...
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic d...
AbstractUsing the method of Lyapunov functionals construction, it is shown that investigation of sta...
This paper studies the stability for nonlinear stochastic discrete-time systems. First of all, sever...
summary:In this paper we give sufficient conditions under which a nonlinear stochastic differential ...
Using the method of Lyapunov functionals construction, it is shown that investigation of stability i...
We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov func...
Abstract. We develop a method to prove almost global stability of stochastic differential equations ...
In this paper we consider a nonlinear non-autonomous system ordinary differential equations (ODE) an...
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stabil...
Stability in the Lyapunov sense for deterministic systems has been well studied since the beginning ...