stability of solutions of symmetric stochastic differential equations with discontinuous driving semimartingales
Sliding mode control of uncertain neutral stochastic systems with multiple delays.
Stability analysis for neutral stochastic systems with mixed delays
This paper is concerned with the problem of the exponential stability in mean square moment for neutral stochastic systems with mixed delays, which are composed of the retarded one and the neutral one, respectively. Based on an integral inequality, a delay-dependent stability criterion for such systems is obtained in terms of linear matrix inequality (LMI) to ensure a large upper bounds of the neutral delay and the retarded delay by dividing the neutral delay interval into multiple segments. A new...
Stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays.
Stability and stabilization of impulsive stochastic delay difference equations.
Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays
The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical...
Stability of invariant measure of a stochastic differential equation describing molecular rotation
Stability of an invariant measure of stochastic differential equation with respect to bounded pertubations of its coefficients is investigated. The results as well as some earlier author's results on Liapunov type stability of the invariant measure are applied to a system describing molecular rotation.
Stability of stochastic functional differential equations and the W-transform.
Stability of stochastic systems with jumps.
Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this...
Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this...
Stabilization of partially linear composite stochastic systems via stochastic Luenberger observers
The present paper addresses the problem of the stabilization (in the sense of exponential stability in mean square) of partially linear composite stochastic systems by means of a stochastic observer. We propose sufficient conditions for the existence of a linear feedback law depending on an estimation given by a stochastic Luenberger observer which stabilizes the system at its equilibrium state. The novelty in our approach is that all the state variables but the output can be corrupted by noises...
Stochastic passivity of uncertain neural networks with time-varying delays.
Stochastic stability of linear time-delay system with Markovian jumping parameters.
Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays.
Stochastically perturbed allelopathic phytoplankton model.
Structural properties and limit behaviour of linear stochastic systems in Hilbert spaces
Sur l'existence, l'unicité et le comportement asymptotique des solutions d'équations différentielles stochastiques